This game is visually appealing, fun to play, and the levels have nice lil' puzzles.
I know at least one other person mentioned it, but I feel like this game is not really using the theme, and the reason that has been given that it does is a pretty big stretch. The effects to the level/player are not "a roll of a die" because they are completely pre-determined and static. I feel like a slight tweak could have made it more thematically appropriate, such as having the R key give 1 out of X possible abilities each level, or having the ability given being slightly different each attempt (such as Double Jump being more "floaty" in one iteration than another).
Regardless though, I do think that it's fun, and really that's what matters most. I hope that you decide to expand upon this idea in the future!
Viewing post in Unexpected Shift jam comments
The mechanic you mentioned is what I was trying to implement - sadly when I did all the levels it was too much work to do and I was afraid that when the gamejam will end I won't complete this for the rest of the maps. I wanted to create some kind of cooldown on the rolling: it will give you some effect for 3 seconds and then you can roll again. As I mentioned before I was running out of time and I was really scared that I will mess things up. Thanks for playing the game!