This video was considered fairly controversial for its time due to some of the suggestive (if also very tongue in cheek) visuals and led to some more conservative broadcasters refusing to show it in its entirety.
The same film set (at Shepperton Studios, England) used in this video was re-used a few weeks later in another Brian Grant directed music video, in this case the song was Kim Wilde: Chequered Love (1981).