Definitely a unique concept.
It does show that the game is unfinished, since it isn't really balanced, however I do wish the remaining time was indicated :P
I'm curious how a full game like this would work out! :)
it is, there is a small timer in the lower left corner :)
(I'm not blaming you for not seeing it. It is so hard to spot that even I only look at while the turn is being played)