Live chess

Live chess was a form of chess played in the 52nd century. Unlike an ordinary game of chess, this one was a dangerous and barbaric twist on the original board game, and as a result, illegal. However, it remained popular in the underground as a shady spectator sport that drew in sadistic audiences. The name referred to the fact that the pieces were electrified, with each move increasing the voltage. Players moved the chess pieces at their own peril, risking electrocution. Though they could use protective gauntlets to protect themselves from electrical shock, once the voltage became too great, not even those would protect them from injury. The Eleventh Doctor played Gantok in live chess for information about the Silence. (TV: The Wedding of River Song)

Behind the scenes
According to The Brilliant Book 2012, a book that contains non-narrative-based information, in an alternate universe where all of history happened at once, Cleopatra and Joseph Stalin played live chess with each other.