Very nice - I really enjoyed this game.
The tutorials were nicely done, showing all the important mechanics without dragging on. I do wish there had been a small buffer between the end of the tutorials and the beginning of the timed levels, but like you've explained in other comments, it's a result of the game jam time limit.
The battle system was interesting and innovative, but quickly felt natural and easy to use. The weakness flowchart in the corner was a big help. It was nice to be rewarded for using the correct skill types rather than just spamming attack. The replay feature was a nice touch too - I wouldn't have enjoyed this game at all if dying meant game over. That game timer was nerve-racking, but it set up a nice conflict between finishing the level and gathering everything on the floor.
The story setup was nothing new, but I think it worked fairly well. A complex story on top on all of the new gameplay mechanics would have felt overwhelming to me. I liked being able to focus on playing, with bits of story in between. It's just enough to make me want to go a few more levels and find out what's going on.
The graphics and dungeon design were well done, but fairly bland. The music was nice, and fit the mood of the timed dungeons. The user interface was great - everything was easy to understand and navigate.
I definitely plan to keep an eye on game's progress. I'm looking forward to the finished version!