If a contractor does a poor job and has been paid does the owner have any recourse?

Unfortunately, money that has been paid for poor workmanship is probably gone forever. However, if a roof leaks, or the dishwasher doesn't work, or the installed product does not perform as it should, I would definitely seek recourse. But unless the contractor has a sterling reputation that they want to maintain, and some assets, I wouldn't hold out too much hope.