This just reminded me of the game 'Braid' which I got with the Humble Indie Bundle 2. Although the game play contains a lot of messing with time, which certainly is a little unfamiliar, you get introduced to it quite nicely through the level design. It is also shown by David Rosen of Wolfire Games in his design tour through the bundle: http://www.youtube.com/watch?v=eVsWDmSrv5I