I have to admit I usually get tired of this mechanic pretty quickly, because it's ostensibly about puzzles but very swiftly descends into punishing you for execution — if you make one wrong move, you basically have to start the entire puzzle over, because you need to stay synched with your twin. There's also a lot of waiting around while recording, to make sure you have enough time to do everything. I'm basically subtweeting Talos Principle here.
But you've made a few very nice touches to avoid that, which I greatly appreciate! Single-screen puzzles can't get too out of hand, the amount of time you can record is fairly severely limited, and your clone stays in place once the time runs out.
I'm also intrigued by having the record and playback buttons in different places, so I have to deliberately jump uselessly against walls at times to record actions that will play back correctly later. It reminds me of desync'd Doom levels. I think a single puzzle in Braid requires a similar tactic, though in a much more minor way.
Unfortunately I don't think I can finish it; I'm having a strange rendering problem where the floor appears one tile below where it actually is, and it's making later levels very difficult to coordinate. But thank you for this fun entry in a genre that often veers into the tedious. :)