Director Russell Mulcahy lost a days worth of filmed footage when he fell into the sea with the camera and the water ruined the film. The scenes had to be shot again the next day.
When the film crew arrived to shoot the video they realized nobody had hired any backing dancers. There was a mad scramble the day before filming began when the director asked a local dance school to help out and asked the instructor to devise some moves that would look good on camera. There was no time to properly clear the filming locations because much of it was done on the fly, which is why you can see a crow of curious onlookers watching the scenes being filmed .
Whilst in Nice to shoot this video, Elton John found himself in the same hotel as British rock band Duran Duran and invited them up to his suite for drinks. The next day he found himself waking up with his suite trashed and empty bottles everywhere resulting in him having to pay a hefty bill. When he asked the hotel manager what happened the manager simply replied "You did".