Currently the time people take isn't recorded no, but it could be done pretty easily. The problem with having an overall timer is that it makes time management for individual questions a lot harder, people will rush through feeling stressed out fearing they might run out of time for the last questions.
I think it's probably easier/effective to make a timer that adjusts based on how long there is to read (short questions will be shorter). As for more detailed stats, yes this is still on the table, I will probably try to make these happen soon