Listen to Rug Cutter's Swing online. Rug Cutter's Swing is an English language song and is sung by Glenn Miller. Rug Cutter's Swing, from the album The Masters of Swing! (33 Best of Glenn Miller and his Orchestra, Vol. 3), was released in the year 2011. The duration of the song is 3:00. Download English songs online from JioSaavn.