Songfacts®:

• Lead singer Simon Le Bon called "Come Undone" "a song for anyone who is falling in love for the first time, 'cause when you come, you come undone."
• Duran Duran isn't just an '80s band: Their melancholy 1993 single "Ordinary World" was a substantial hit, and they followed it up with the languid "Come Undone," which was nearly as successful. These singles appealed to a more adult audience, many of whom grew up listening to the band.
• The song's music video, directed by Julien Temple, begins with a knot in a purple ribbon coming undone and straightening out quickly as the music begins. The music video was filmed primarily at the Sea Life London Aquarium. Footage of sharks and other fish swimming around in glass tanks can be seen clearly throughout the video. In the video, English back-up singer Tessa Niles plays the role of a woman attempting to escape a bundle of metal chains that are dragging her down into the shark tank. Sharks swim near her as she sings part of the chorus. One of the scenes in the video shows an elderly couple sitting on a park bench. The elderly couple are shown to have escaped as the area floods around the bench. Other footage used during the video includes an alcoholic blonde woman drinking in her kitchen, glass breaking and an automobile explosion. All of the footage, with the exception of the scenes from the aquarium, are meant to symbolize the theme of people's lives unraveling. As the song ends, the knot in an orange ribbon is shown coming undone and straightening out quickly. The screen then fades to black.
  
  The first fish to be shown in the video is called an arowana.
• Bass player John Taylor didn't play on this track: the bassline is a synth bass programmed by Nick Rhodes.
• The song hit #2 in Canada. It also hit #1 in Israel.
• A snippet of the music video is shown in the 1993 "No Laughing" episode of the animated Mike Judge sitcom Beavis and Butt-head.