I've Got You Under My Skin is a song written by Cole Porter and covered by The Rutles. It was often sung by the band during live performances at Der Rat Keller, where Ron Nasty would often get the lyrics completely wrong. Another version was included on Meet The Rutles.
"Under My Skin" was part of the Rutles' repertoire in 1962 and performed at Der Rat Keller in Hamburg. They notably were not particularly good at remembering the real lyrics, causing Ron to make clear gaffes during the recording.
Another version of this was released on their second album, Meet The Rutles, and then on several American albums.