Robert William Gillespie [Bunch] (October 8, 1919 – November 4, 2001) was a pitcher in Major League Baseball who played between 1944 and 1950 for the Detroit Tigers (1944), Chicago White Sox (1947–48) and Boston Red Sox (1950). Listed at 6 ft 4 in (1.93 m), 187 lb., Gillespie batted and threw right-handed. He was born in Columbus, Ohio.
In a four-season career, Gillespie posted a 5–13 record with a 4.73 ERA in 58 pitching appearances, including 23 starts, two complete games, 59 strikeouts, 102 walks, and 202 ⅓ innings of work.
Gillespie died in Winston-Salem, North Carolina at age 82.