Alan Turing, one of the fathers of the modern computer and one of the great geniuses of the 20th Century, was also a long-distance runner of some repute. He was also a mediocre chess player. But he combined running and chess in a creation usually referred to as "run-around-the-house chess".
The rules are simple: make a chess move, then run around the house. Your opponent must make her move before you return to the board.
I don't know if Turing ever actually played this way, because some practical problems come to mind: What if you live in a mews? What if you need more time to think?...you just might stroll instead of run.
Alan Turing the Runner
Apparently, the French have discovered a solution to these problems in a game called Condi Chess. Chessmaster Julius Arnas invented it for the chess camp he runs near Naujac sur Mer, France. The rules are the same as standard chess but the chess clock is set up some distance away, say 10 meters, on a separate table. From what I've been able to discover, the idea is catching on, and others are playing it too.
Here's a video of the action (note: skip ahead to 2:20 for Condi Chess, otherwise you'll be watching teenagers standing around for 2 minutes):