Really liked it, beat ~6-8 levels before i had to stop. Very hard to make a good puzzler but i think you got something here. it plays well into the whole Portal lane, its gonna live and fall on the gimmicks you can introduce in each chapter to keep it fresh.
I dont really have any feedback other than i wished that it was free-roam movement other than tile based. but i understand why you had to limit it, but might be worth exploring (which you probably already have).