Clinton "Bär" McKinnon (born December 24, 1969) is an American musician, perhaps best known for being a saxophonist in the San Francisco-based band Mr. Bungle.

Bär, pronounced "bear", is a childhood nickname given to him by his older sisters. In 1989, Bär joined Mr. Bungle and studied music at Humboldt State University, where he met Trevor Dunn and Trey Spruance. His primary instrument is the saxophone, and he plays a number of other instruments, including flute, keyboards, guitar, drums, percussion, bass, and other assorted woodwinds.

He was a member of Mr. Bungle from 1989 to their disbandment in 2000 and has written and performed with Secret Chiefs 3, Dieselhed, and Humboldt County hip hop/reggae/rock fusion band Lakota. He has also appeared on the Melt-Banana album Charlie, on the Carl Hancock Rux record Rux Revue, on the Ray's Vast Basement disc On the Banks of the Time, on Eyvind Kang's The Story of Iceland, and the Barefoot Hockey Goalie album One Part Thomas Edison. Bär McKinnon performs around Melbourne with his band Umläut and contributes to a remote supergroup formed in 2020 by the name of High Castle Teleorkestra.