I used to work for utility companies and it always baffled me when people would ask if they got a refund when we charged them more for their services (and it happened more often than you think). Of course you aren't going to get a refund for the probably less than two dollars you were overcharged, it's going to be credited to your account.
And I don't know why the Cleveland Water Department has such disregard for the precious resource that is water but I don't suggest wasting water like this.