Wycombe went ahead through Jo Kuffour, but West Ham loanee Paul McCallum levelled and added his fourth goal in three games to put the Dons ahead.
But a lucky goal from McClure 18 minutes from time rescued a point for a Wycombe side, who have lost only two of their last 10 league games under player-manager Gareth Ainsworth.
Kuffour put the visitors ahead early on, turning with his back to goal and firing in for only his second league goal of the season.
McCallum made it three goals in as many games for the Dons, blasting in from close range to level just seven minutes after going behind.
A combination of the crossbar and Wycombe goalkeeper Jordan Archer denied McCallum his second, his flicked effort nearly creeping in.
And Wimbledon's star man struck again after 41 minutes, turning expertly in the box to blast past Archer and give the Dons the lead.
Joel Grant tried to find a way back for Wycombe, but flashed his shot just wide as the visitors looked to be heading towards their eighth league defeat on the road.
And hat-trick hunting McCallum forced a reaction save from Archer as Wimbledon looked to seal the win before McClure's fortuitous late equaliser.