Making body parts is a wonderful prospect for medicine, and I don't see any ethical problems there (or perhaps I'm just short-sighted).
As for full human beings, I don't know. The religious view that a clone wouldn't have a soul doesn't seem logical to me, assuming we even all have souls in the first place. A cloned human would be just another person developed in a womb and growing on this world. The fact that it would share DNA sequences with another person shouldn't preclude its possession of a soul. Aside from that, I see no real problems with cloned humans, as long as we remember to place more emphasis on the "human" part of that than the "clone" part. However, human beings do tend to value their individuality (this even includes those who spend their lives trying to imitate and impress other people), so I suppose that could pose a problem.
Humans tend to fear the unknown, and that's even true with new technology. Cloning is a pretty famous process now, but the idea of using that ability on ourselves still falls into the realm of enigma, so it tends to alarm and frighten most of us. If it comes into being, and human cloning becomes an everyday process, I'm sure we'll all grow used to it in a few years, and look back, laughing, at our concern over the ethical issues.