The video, which got constant play on MTV, was directed by Bob Giraldi, whose videos were fixture on the network in their early years - he also did the "Beat It" clip and Lionel Richie's "Hello
The video is a concept piece that has nothing to do with the song but features a proven winner: Michael Jackson dancing. This posed a problem for Paul McCartney, but he gamely hoofed it alongside Jackson.
The clip is set in the 1800s and depicts McCartney and Jackson as hucksters conning people into buying "Mac and Jack's Wonder Potion" (implausible race relations were set aside for artistic effect). Linda McCartney and LaToya Jackson both appear in the video, which contains a non-musical opening scene where Jackson is the plant, convincing the onlookers that the wonder potion gives him strength and otherworldly dance moves.
Jackson and McCartney turn out to be robin hood types, bringing the money to an orphanage where they also entertain the kids.