I have spent hours on 2 empty floor(s). On occasion I find items I did not have room to pickup. But no sign of my quest item or monsters. Can I abandon the quest and reacquire it to reset the quest or something?
Once you've abandoned a quest from a statue, you cannot get another quest from the statue. That means you can't reacquire the quest once you abandon it, unfortunately.
Source: Dredmor Wiki