Robert Thomas Thigpen is an American former relief pitcher in Major League Baseball. He is noted for setting the major league record of 57 saves during the 1990 season, which has since been broken by former Los Angeles Angels of Anaheim pitcher Francisco Rodríguez. He is the former pitching coach of the Winston-Salem Dash. He is also the former bullpen coach for the Chicago White Sox.

In baseball, a save is credited to a pitcher who finishes a game for the winning team under certain prescribed circumstances. A pitcher earns a save by entering a game in which his team is winning by three or fewer runs and finishing the game by pitching at least one inning without losing the lead. The number of saves or percentage of save opportunities successfully converted are oft-cited statistics of relief pitchers, particularly those in the closer role. The save statistic was created by journalist Jerome Holtzman in 1959 to "measure the effectiveness of relief pitchers" and was adopted as an official Major League Baseball (MLB) statistic in 1969. The save has been retroactively tabulated for pitchers before that date. Mariano Rivera is MLB's all-time leader in regular-season saves with 652, while Francisco Rodríguez earned the most saves in a single season with 62 in 2008.