Elmer, or Elbert, Skippy Williams (July 27, 1916 – February 28, 1994) was a jazz tenor saxophonist and musical arranger.
First credited as the arranger for some July 12, 1939 recordings for Earl Hines and His Orchestra, Skippy Williams is best known as the substitute for Ben Webster in Duke Ellington's orchestra. Replacing Webster in August 1943, Williams appears on Ellinton's Carnegie Hall recordings in December 1943. He left Ellington in May 1944, to start his own band and was replaced by Big Al Sears.
Williams also worked with Art Tatum, Fletcher Henderson, Count Basie, Lucky Millinder, Bob Chester, and, according to some sources, played tenor sax on the original recording of Bill Haley's "Rock Around the Clock", and "Shake rattle and roll", a claim also made by other musicians.