Listen to I've Got You Under My Skin online. I've Got You Under My Skin is an English language song and is sung by Frank Sinatra. I've Got You Under My Skin, from the album 100 Fifties Hits & Greatest No.1 50s Classics - The Very Best Classic Jukebox Songs from the Legends of the 1950s, was released in the year 2016. The duration of the song is 3:40. Download English songs online from JioSaavn.