The NBA has the Trent Tucker Rule, which states that if there is less than 0.3 seconds on the shot clock or game clock with a team inbounding the ball, then any player on that team cannot attempt to score by catching and shooting. Instead, they must attempt to score on a tip play. The NCAA has a similar rule, except that it is 0.4 seconds instead of 0.3 seconds.
There has been at least one game-winning tip play off an inbounds pass with less than 0.3 seconds left in a regular season NBA game. That occurred on December 21, 2006 when the Knicks beat the Bobcats on a David Lee tip-in off an inbounds pass with 0.1 seconds left in the game.
Has there ever been a NBA playoff game with a game-winning tip off an inbounds pass (or a jump ball) with less than 0.3 seconds left? Or an NCAA Tournament game with a game-winning tip off an inbounds pass with less than 0.4 seconds left?