I saw this posted on Destructoid yesterday so I thought I'd pass it on. I think it's a pretty innovative concept for a game, and it's the kind of thing that Construct could handle easily.
Anyway... it's a flash game that works similarly to those "sliding tile" puzzle games where an image is broken up into pieces and you have to rearrange them to restore the image to it's original state.
The difference is instead of simply rearranging a picture each "piece" makes up part of a level. You switch between controlling the player and jumping around, to moving the pieces of the levels so that you can get the key and reach the exit door.
It's pretty fun.