Here’s a fun clip of the Stones on the Ed Sullivan Show, syncing to this tune in 1966. It doesn’t appear that any of group listed this one in their Top 10, probably rightly, but it is a catchy original tune that defies categorization. Reportedly one of the first songs to incorporate guitar feedback (can this be true?) and the first Stones song with a horn part, it was also supposedly one of the first songs Richards composed on the piano and can be seen miming the piano part in the video.
But in the recording it is Jack Nitzsche and Brian Jones who played the piano, with Richards on guitar.
And the lyrics are straightforward, mysterious and mysteriously salacious. Nicely done.