It's pretty obvious what's going on in this song, as Mick Jagger make a play to bed down a lovely lady. All this talk of "satisfying her every need" got the attention of censors: many radio stations either refused to play it or bleeped out the word "night."
The Stones had yet to score their first Top 10 hit in America when they made their first appearance on The Ed Sullivan Show in 1964. When they returned for their fifth appearance on January 15, 1967, they played this song, but with the lyric altered to "let's spend some time together."
This was an unusual capitulation for The Rolling Stones, but Sullivan was a very big deal and would likely have banned them from the program if they didn't follow the rules. Jagger made his displeasure clear, rolling his eyes when he sang the line. This ended up being the group's last performance on the show with founding member Brian Jones, who died on July 3, 1969. They made one more appearance on the show, November 23, 1969.
The lead instrument on this track is the piano, rather than guitar, which was unusual for The Stones. Jack Nitzsche, who often contributed keys for the group, played it.
According to Glyn Johns, who was the engineer at the session, the tapping sound in the bridge came about when two policemen came into the London studio while he was mixing the track. To distract them from the various drugs that were tucked away, the Stones' manager, Andrew Loog Oldham, had the cops record a take banging their batons for percussion, which made the final cut.
This was not on the British version of Between The Buttons because it was already released as a single there, and it was customary not to put singles on albums.