Shriekback was formed in the early 80's by a former member of Gang of Four and a former member of XTC. You can hear a lot of GO4 in their music, mailnly in Dave Allen's bass-playing, although I don't hear any XTC influence.
Shriekback had a funky dance beat with a weird, spooky menace to the vocals. Here are a few songs I remember and one I definitely was not aware of until I started searching YouTube for this post, a KC & the Sunshine Band cover(!?!?)
Enjoy!