I think this is a very solid and enjoyable game that unfortunately does not really fit the theme. The only dice aspect to the game was the between rounds rolling for power ups, which if you changed out for simply giving a random set of three possible power-ups would behave the same way gameplay wise. It feels a lot like a really good game that was designed without the theme in mind and then the dice rolling piece was added in to try and meet the criteria.
Now, with that in mind, the game itself is well done. The controls are smooth and the concept solid if slightly unoriginal. Extra points for creating the artwork and music which, while simple, is very enjoyable and works great for a game like this. The animations as well, between scenes and such were great and added a lot of polish to it in my opinion.