Live chess

Live chess was a form of chess played in the 52nd century. The name referred to the fact that the pieces were electrified, with each move increasing the voltage. The Eleventh Doctor played Gantok in live chess for information about the Silence. (DW: The Wedding of River Song)

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