If an entire person is cloned the person needs to be seen as a person. Identical twins are basically clones (well one of them) and we don't let one twin own the other twin.
We do have use of cloning (once safety issues i.e. the rapid aging problem is worked out) just like we have use of in-vitro fertilization. It would be a handy way for some people to reproduce. Maybe I'd like to see what it would be like to bring myself up, only it wouldn't exactly be myself but still have my DNA.