There are a lot of reasons this isn't a good idea.
One, the methods are far from certain, and failures in the "process" means loss of life. Two, there isn't anything like enough research to know what long-term issues a clone could face. Dolly the sheep lived only half as long as the average sheep. Now, this could have been because she was inside, and other sheep in the flock had similar issues, but the fact is, they do not KNOW. She died at six, the age the sheep from whom she was cloned was when they took the material to clone Dolly. IN this respect, cloning people would be immoral because we cannot know, without a lot more research, what problems those cloned people would face.
Two, there is the matter of the legal status of a clone. Would they be considered the same as ordinary people? Or, would they be used as "organ farms", so that some rich person could live longer by taking from a clone when they had some organ failing? We would like to think this couldn't happen, but an honest look at history shows that it could.
Three, we have no way to know what long-term effects this would have on humanity as a whole. If the clones were treated as ordinary people, and they produced children, would this cause issues? Not knowing what issues the clones themselves would have, we can't say.
Four, and this is where things could get, well, weird. What about the many known and accepted links between identical twins? There are reports of all sorts of links between them, that are not explained, but very real. Know about a set of twins myself who, as high school girls, decided to shop alone for prom dresses. They bought identical dresses, shoes, and accessories. College, they decided to do alone as well. No discussion with one another at all, yet they ended up registering for the same college, same classes, everything. If you haven't heard about this stuff, do some online searches; the results could prove fascinating. The point is, if these links are caused by identical genetics, would the same thing happen with a clone? We don't know.
These are only a few reasons that cloning could be considered immoral. With thought, I am sure we could come up wit more.
Well, didn't address the issue of cloning just an organ. That would depend on how they develop the process to do it. If no human life is lost in the process, that would be alright. Assuming, of course, you really could clone JUST an organ, without any supporting system. Of course, even this should wait until we knew how safe this was, and if cloned tissue would cause unforeseen medical issues.