Listen to Insistin' on Twistin' online. Insistin' on Twistin' is an English language song and is sung by The Chessmen and Fats. Insistin' on Twistin', from the album Twistin' Usa: 50 Great Dance Floor Moments of the 60s, was released in the year 2013. The duration of the song is 2:29. Download English songs online from JioSaavn.