Most great bands seem to have a shelf life of about 10 years before they start repeating themselves and/or otherwise lose interest. The Stones made it about about 20 before they began their decline into a full-fledged multinational corporation. This was their last gasp and what a last gasp. A full 3 years before U2s 'Bullet The Blue Sky' it dared to go where no one wanted to go (South America - Land of the right-wing death squads as Bono would later discover) and managed to offend plenty of sensitive types in the process. It's a churnin', burnin' mess of a groove and the first real movie-style music video; predating 'Thriller' by a couple of years. Directed by Julien Temple.
Link to the full video: Rolling Stones - Undercover of the night 1983