Austin, it's a swinging shindig!
It's my happening, baby, and it freaks me out!
-Mrs. Kensington and Austin Powers upon entering the club.
The Electric Psychedelic Pussycat Swinger's Club is, as the name implies, a swinger's club located in Britain in the '60s.
International Man of Mystery
Upon receiving word from Basil Exposition that Dr. Evil was planning a trap for Austin Powers at the club, Austin, along with Mrs. Kensington, go there to investigate. For a while, they dance with the crowd. When a waitress offers Austin a drink, Austin suddenly turns on her and punches her out. The waitress turns out to be one of Dr. Evil's assassins.
The assassin draws a knife, but Mrs. Kensington easily disarms him, and Austin tries to get him to tell where Dr. Evil is. Before he can answer, Dr. Evil fires a harpoon at Austin, but inadvertantly hits the assassin instead. Austin spots Dr. Evil and goes after him, but by the time they catch up, Dr. Evil seals himself in a pod along with Mr. Bigglesworth, but not before taunting Austin with "See you in the future, Mr. Powers!"
Austin and Mrs. Kensington try to stop the pod, but it's too late. Dr. Evil has cryogenically frozen himself, and the pod is launched into space via the Big Boy rocket attached to the club.
The Spy Who Shagged Me
When Austin Powers returns to 1969 to recover his lost mojo, he ends up in the Electric Psychedelic Pussycat Swinger's Club again. While there, he meets Robin Spitz Swallows, who he dances with. However, this dance is interrupted by Felicity Shagwell and her associates, who break up their dance long enough for Felicity to warn Austin that Robin works for Dr. Evil.
Sure enough, not long after, another assassination is attempted, but Austin manages to hold it off by using Robin as a human shield. After getting blown out of the club, Felicity pulls up in a car, and Austin jumps in and is taken to safety.