I like that the visuals fitted together and it having a chess reference is always a plus in my book. Congrats also for making a tutorial level. I guess after the second level time ran out on you guys. As for points to improve:
1. Add any feedback on the move (simple sound or animation)
2. In chess you end your move on placing a piece, clicking the dice was an unnecessary step in my oppinion.
3. A suggestion would be nice that the player completed the final level.