The putting the die in the tumbler is a cool concept, but gets old really fast. I found myself wishing the game was in windowed mode so I could do something else while all the animations played to roll the dice. I also think it's basically a sin any more to have unskippable dialog, so some input there to skip that would be great.
I did like the battle arena, and would have liked to seen what happens if a die hits the target for sure.