Punch may refer to:

William C. "Buster" Bailey (19 July 1902 – 12 April 1967) was a jazz musician specializing in the clarinet, but also well versed on saxophone. Originally from Memphis, Tennessee, Bailey was one of the most respected session players of his era.

Buster Bailey was a master of the clarinet and was educated on the instrument by classical teacher Franz Schoepp, the man who taught Benny Goodman. Bailey got his start with W.C. Handy’s Orchestra in 1917 when he was just fifteen years old. After two years of touring with Handy, Bailey quit the orchestra while the band was in Chicago. In 1919, Bailey joined Erskine Tate’s Vendome Orchestra and remained with Tate until 1923 when he joined up with Joe "King" Oliver. As a member of King Oliver’s Creole Jazz Band, Bailey met and became friends with Louis Armstrong, who was also a member of the band at that time. In 1924, Armstrong left King Oliver’s Jazz Band to join Fletcher Henderson’s Orchestra in New York. Within a month Armstrong extended an invitation for Buster Bailey to join him as a member of Henderson’s band. Bailey accepted and moved to New York City.