Robert Dewees "Cutty" Cutshall (December 29, 1911 – August 16, 1968) was an American jazz trombonist.
Cutshall played in Pittsburgh early in his career, making his first major tour in 1934 with Charley Dornberger. He joined Jan Savitt's orchestra in 1938, then played with Benny Goodman in the early 1940s. Later in the decade he worked frequently with Billy Butterfield and did some freelance work in New York City. He started working with Eddie Condon in 1949, an association which would last over a decade. Cutshall was touring with Condon in 1968 at the time of his death, which occurred in a hotel room.