by Dexys Midnight Runners.
One thing about the video (from wikipedia):
"Drummer Seb Shelton was reputedly fired from the band during the filming of the music video. Rowland had ordered his bandmates not to do any bathing or shaving of any kind, in order to achieve a more gruff appearance. Shelton did not follow the orders, and was subsequently kicked out of the band. This is also the reason of Shelton's absence near the end of the video."