The Lilywhites dominated the match and turned possession into chances in the second half, but they only took one of their openings as Dele Alli prodded home 49 minutes in.
There was a sense of inevitability about Wood's leveller when it eventually arrived, with the Clarets pulling off the ultimate smash-and-grab raid to return to Lancashire with another away point.
Relive how the 90 minutes of action unfolded with Sports Mole's live text coverage below.
STARTING XI: Lloris; Trippier, Alderweireld, Vertonghen, Davies; Dier, Dembele; Eriksen, Son, Dele; Kane
SUBS: Vorm, Sanchez, Janssen, Sissoko, Winks, Walker-Peters, Oakley-Boothe
STARTING XI: Heaton; Lowton, Tarkowski, Mee, Ward; Gudmundsson, Cork, Arfield, Defour, Brady; Vokes
SUBS: Taylor, Barnes, Wood, Westwood, Bardsley, Long, Pope
Mauricio Pochettino: "We need to sign a few more players, and a few players need to leave the club. They need to feel they can play more, and they want to play more. That is a normal period in every club."
Sean Dyche: "We are just looking at quality, we want to add, year on year, to the quality. Of course, there are certain specific areas in any team. We want to add layers of quality if we can get them, and they come to this club."
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TOTTENHAM HOTSPUR SUBS: Vorm, Sanchez, Janssen, Sissoko, Winks, Walker-Peters, Oakley-Boothe
BURNLEY SUBS: Taylor, Barnes, Wood, Westwood, Bardsley, Long, Pope