After a quiet opening, Leeds took the lead in the 16th minute when Antenucci fired the ball across goal and into the far corner for his fourth of the season.
Wolves picked up where they left off at the start of the second half as Nouha Dicko had a header saved by Silvestri, although the striker's effort could have been drifting wide of the post anyway.
Midway through the second half, Kenny Jackett's side did have their equaliser when a cross from Matt Doherty rebounded into the path of Henry, who made no mistake in driving the ball into the roof of the net.
Wolves were well in the ascendancy and they should have completed the turnaround with 15 minutes remaining when Rajiv van La Parra was found at the back post, but he somehow missed the target from a couple of yards out.
However, with five minutes remaining, the Dutchman earned a reprieve when Clarke put Wolves ahead. Van La Parra played in Doherty, who pulled the ball back for the out-of-form forward to tap home from five yards.
Leeds attempted a late reply, but it was too little, too late for Darko Milanic's outfit, who fall to 18th after failing to win for the sixth match in a row.