Technically, Cutting Crew was a two-hit wonder in the U.S., however, this single was their only #1 smash worldwide (and the first stateside hit for Virgin Records). Aside from their follow-up release "I've Been In Love Before" (which peaked at #31 on the Billboard charts) they kind of meandered after that like many of their ilk. Sort of like the song says, they kept "looking for something I can't get"...
I had to share this from Wikipedia regarding their debut album because it could describe many others in the late 80s: The slick guitar rock on Broadcast may not have wowed the rock & roll intelligentsia, but it's a guaranteed crowd-pleaser, an underrated collection of simple, heartfelt love songs and up-tempo pop that reside between the stylistic boundaries of new wave and mainstream rock. 
It must've been something they said...