Diane Duane had a version of 'Four-Dimensional Chess' in her Star Trek 'Rihansu' quinology. In essence, any piece can 'time out' and vanish for a unique number of moves before returning to that square at a later point.
This can be used to lay a trap for the other player (forcing them to move an important piece into a spot controlled by or in taking position from a 'timed out' piece and then pouncing). However, the rules specify that a 'tele-frag' move where your piece times in on the same square as another piece removes both from the board. Additionally, a 'time in' is considered a separate normal move, so you have to wait an extra turn to move again as you already have a future move programmed in for a future point.
