Until recently, I thought Endy Chavez’s catch in the 2006 NLCS was the most amazing clutch play I’d seen as a baseball fan, and it may still be, given the circumstances and what was on the line. 
But Dewayne Wise’s catch with nobody out in the ninth inning to preserve Mark Buehrle’s perfect game was up there. What made it more incredible was his juggling act on the way down from the wall. To go to such lengths to preserve a no-hitter is incredible, and almost took the attention away from Buehrle’s feat. (MLB.com currently leads with Wise instead of Buehrle)
The most amazing thing of all is that Wise was put in before the inning began as a defensive replacement. The first thing the guy does is preserve Buehrle’s perfecto.
What a managerial move. What a catch. He leaves something to be desired as a hitter, but Dewayne Wise can play for my team any time.