You're probably thinking of the movie THE BREAKFAST CLUB, directed by John Hughes, aren't you?
Well, according to Wikipedia this New Wave band formed in 1979, years before the more-famous movie (in 1985). They had their only Billboard Top Ten Hit, "Right On Track" in the summer of 1987. They were nominated for a Grammy for Best New Artist in 1988 but lost to Jody Watley. That was probably a good thing, since they broke up that year and went their separate ways.
They left us with this very, very danceable tune, though. I actually had trouble tracking it down because I couldn't remember the band's name and I thought the name of the song was "Get You Back." Finally I remembered the band name and found this on i-tunes. :-)
According to Wikipedia, American Idol judge Randy Jackson played bass with this group at the end of their life. Hmmm... That isn't him in the video, though, of course.
I always liked the question they pose here: "How far away can you go and still be dancing with me?"