I have no problem cloning organs, or other bits of human tissue separately. Meaning that if you can grow a new heart in lab, and then transplant it to a needy person, I would fully support that. I'm not really for cloning animals or plants, but not really against it either - if there is clear benefits for humanity, then OK. If we're just doing it for the heck of it, then no. I don't think full humans should be ever cloned, either to be allowed to live as regular members of society, or to be ripped up for parts.
A disturbing thought just came to me: If we can clone bits of tissue, like, say, human hearts or other muscles and organs, what do we do if cannibals want to order those parts and eat them? What do we say if no one was actually harmed in getting the parts, but it technically is still human flesh? Do we still keep it illegal on the ick factor alone?