Listen to It Don't Mean a Thing (If It Ain't Got the Swing) online. It Don't Mean a Thing (If It Ain't Got the Swing) is an English language song and is sung by Annie Ross and Gerry Mulligan. It Don't Mean a Thing (If It Ain't Got the Swing), from the album The Greatest Woody Allen's Movie Music (La grande musique jazz dans les films de Woody Allen), was released in the year 2014. The duration of the song is 2:12. Download English songs online from JioSaavn.