Spurs made a slow start to the match and the hosts should have been ahead even before their seventh-minute opener, which saw Junior Stanislas break the deadlock shortly after hitting the crossbar.
Dele Alli's equaliser levelled things up 10 minutes before the interval, though, and a second-half brace from Son Heung-min put the visitors in control before Serge Aurier capped the scoring off in stoppage time.
Find out how all of the action unfolded courtesy of Sports Mole's minute-by-minute coverage below.
These two teams have been among the hardest to beat in the top flight since the turn of the year, and both still have work to do to seal their objectives before the end of the season at either end of the table.
There is plenty riding on this match, then, so let's waste no time in getting started with some team news...
Well, we'll get to the hosts in a moment, but let's start with a look at that Tottenham team as manager Mauricio Pochettino makes three changes to the team which was beaten by Juventus in midweek.
One of those sees Eric Dier drop out of the starting lineup, having undergone a late fitness test after picking up an elbow injury during the defeat to Juve, although his inclusion on the bench suggests that the England international will be fit enough to feature should he be needed. Victor Wanyama comes into the starting lineup in his place.
Serge Aurier - who missed the Juventus defeat as he was serving a European suspension - returns, while Danny Rose is in on the opposite flank to take the place of Davies.
In front of them there is very little doubt about who will start for Spurs nowadays, with Son having established himself as a key part of Pochettino's side, every bit as important as Dele Alli and Christian Eriksen alongside him.
Kane has scored six goals in his four Premier League meetings with Bournemouth, including a hat-trick on his only previous visit to this stadium in 2015. He is also only three goals short of equalling the Premier League record for most away goals in a season, which is currently held by Kevin Phillips, who scored 16 in 1999-2000.
Kane has scored in his last six away games for today's visitors, and often leaves it late too having netted in the 82nd minute or later in four of their last five away games.
It is a role the striker has had to make do with for much of his second spell at Bournemouth so far, with fitness - notably a spell out with an ankle injury - keeping him from earning a regular starting spot and perhaps damaging his World Cup chances too.
Wilson will today be supported by Mousset behind him as Eddie Howe opts to include him ahead of Joshua King, who drops to the bench despite scoring against Leicester last time out.
The back four of Francis, Cook, Ake and Daniels remains unchanged, while in midfield Lewis cook and Dan Gosling are once again selected in the middle, with Smith and Stanislas providing the width.
Fraser was also on the bench against Leicester but has been struggling with a back injury lately, whereas Ibe has been sidelined with a hamstring problem but returns to the matchday squad today.
The Cherries have only lost one of their last 12 games across all competitions - with one of those coming in the FA Cup - which is a vast improvement on their run of four defeats in a row prior to Christmas. There have perhaps been too many draws during Bournemouth's recent improved form - six compared to four wins - but it is still a sign that they are moving in the right direction.
However, there are a few teams in greater danger than Bournemouth at the moment and, with a six-point gap separating them from the bottom three as things stand, it may take just two more wins from their final nine games to secure yet another season in the top flight.
It will not all be plain-sailing throughout the remainder of the campaign, though, as including this afternoon they must also play three of the current top four in their final nine games, with Liverpool and Manchester United also still to come.
Even so, it bodes well considering they went on to finish ninth last season, amassing 46 points to leave themselves 12 points clear of the bottom three. Eddie Howe would certainly take a repeat of that if you offered it to him now.
Only today's opponents Tottenham have lost fewer league games since Christmas, although Bournemouth are winless in their last three and could draw three top-flight games in a row for the first time today.
Bournemouth have also scored in 10 successive Premier League games for the first time in their history, but on the flip side they have kept only one clean sheet in their last 16 top-flight outings - that in a 3-0 win over Chelsea. Both teams to score looks like the safe bet today, then.
A three-match winning streak did come to an end in their most recent home league game, although that 2-2 draw with Newcastle may have felt like a victory as they came from two goals down late on to secure a point.
Only Watford, Palace and West Brom have conceded more home goals this season too, with Bournemouth having failed to keep a clean sheet at Dean Court since November 18 - a run of nine matches which has seen them ship 17 goals.
Spurs are unbeaten in the 18 league matches in which they have taken the lead this season - winning 17 of those - but only Huddersfield have picked up fewer points from losing positions and Spurs are yet to win in a game in which they have fallen behind. By contrast, Bournemouth have won 13 points from losing positions this term, which was more than any other team prior to this round of fixtures.
The FA Cup remains their only remaining chance of silverware, which means that Saturday's quarter-final against Swansea has taken on even greater significance now.
As things stand Spurs will be doing that, but the gap to fifth-placed Chelsea is now only two points following their win over Crystal Palace yesterday, and Spurs must still face the champions and Manchester City before the end of the season. It looks like it might go right down to the wire.
Indeed, a victory this afternoon would see them leapfrog Liverpool up to third in the table, crucially taking them five points clear of Chelsea again too. There were no such problems last season when Spurs were four points better off at the same stage of the campaign, sitting in second and seven points off the leaders whereas now they are fourth and 20 adrift of Man City.
Pochettino's side could now lose successive matches for the first time since October, but they are still unbeaten in their last 11 Premier League games, which is the longest current run in the division. Indeed, Spurs have won their last three without even conceding, and could register four successive wins and clean sheets for the first time since April 2017.
Victory at Crystal Palace in their most recent away game ended a run of five consecutive draws on their travels, but even their record of three wins and five draws from their last eight away outings is a significant improvement on the run of one win and four defeats in seven which preceded it.
Indeed, despite that blip in the middle, only Man City, Liverpool and Manchester United have picked up more points on their travels this season, while only Man City and Burnley have conceded fewer away goals.
Bournemouth have been scoring goals at one end but leaking them at the other tpp frequently recently, so I can see both sides getting on the scoresheet again this afternoon. Spurs have the firepower to really punish any defensive blips, though, so we're going for a narrow away victory.
SPORTS MOLE SAYS: Bournemouth 1-2 Tottenham
Spurs have dominated those past meetings, winning four of them and only failing to win once - a goalless draw in the corresponding fixture last term. That also just so happened to be the first and only time that Bournemouth have kept a clean sheet against Spurs.
Indeed, the only league goal Bournemouth have ever scored past Tottenham came just 49 seconds into their first ever league meeting when Matt Ritchie opened the scoring, although Tottenham still went on to win that match.
The most recent meeting between these two sides also saw Spurs run out winners, with Christian Eriksen scoring the only goal of the game at Wembley in October.
The Cherries ran out 3-1 winners on that occasion, which was the first ever meeting between the two sides, but since then it has been Tottenham who have dominated this fixture.
BOURNEMOUTH STARTING XI: Begovic; Francis, S Cook, Ake, Daniels; Smith, L Cook, Gosling, Stanislas; Mousset; Wilson
TOTTENHAM STARTING XI: Lloris; Aurier, Sanchez, Vertonghen, Rose; Wanyama, Dembele, Eriksen, Dele, Son; Kane
Smith does really well down the left flank to turn the ball around the corner and chase it down himself before delivering a dangerous cross into the box. Aurier has come inside and left Stanislas on his own, allowing the Bournemouth man to take a touch before arrowing his finish into the far corner.
11 - Bournemouth have scored in each of their last 11 games in the Premier League - before today, only Spurs (17) were on a longer current run in the competition. Action. pic.twitter.com/vhS701PySd— OptaJoe (@OptaJoe) March 11, 2018
Son slides a good pass in behind for Aurier down the right flank, and the full-back's cross on the run is perfect. Alli meets it and controls his finish well to steer the ball home from close range!
It is Spurs who will perhaps be the happier of the two sides at the interval having made a poor start to the game, but they grew into the first half eventually and will be hoping for a much better performance in the 45 minutes to come.
Stanislas made no mistake when he was presented with another opening just three minutes later, though, collecting Smith's cross from the right before drilling a crisp finish into the bottom corner to leave Lloris no chance.
Indeed, just one minute after he was subbed off Spurs levelled things up through Alli, who did well to control his finish past Begovic after being picked out by Aurier's cross. Begovic could have perhaps red the cross better, but Alli did well to finish it as it arrived awkwardly to him.
His ankle got caught underneath Begovic when Kane was finishing off an Eriksen cross, only for his goal to be disallowed for offside anyway. Fans of Spurs and England will be hoping that it is nothing serious, but it looked like a painful one and he is not the type of player who will stay down unless he is really hurt.
It is patient play from the visitors as Alli cuts inside before picking out a cross to Son at the back post. The Korean attempts a first-time volley, but he completely scuffs his effort and if anything that helps it go in as it bounces over Begovic and in.
6 - Son Heung-Min has scored six goals in his last four games in all competitions for Spurs, as many as he did in his previous 19 combined. Form. pic.twitter.com/KgL8RPN0gn— OptaJoe (@OptaJoe) March 11, 2018
One ball forward releases Son clean through on goal from inside his own half, and he uses the run of Lamela in support as a dummy before taking it past Begovic and sweeping his finish into the empty net.
Trippier's cross from the right should be cleared by the keeper, but his touch only tees it up perfectly for Aurier to nod into the empty net.
Bournemouth took the lead after only eight minutes through Stanislas, but Dele Alli equalised before half time and Son added a second-half brace to put the game to bed. Serge Aurier then capped off the scoring to secure a fourth straight league win for Spurs, who climb up to third in the Premier League table.
Thank you very much for joining Sports Mole for tonight's match as Tottenham come from behind to beat Bournemouth 4-1, climbing up to third in the table in the process. I will leave you with our match report, and be sure to stick around or reaction from both camps too.
From me, though, it is goodbye for now!