The issue with human cloning is that there will be, with a very high probability, drastic failures. We know this because of the history of animal cloning.
Cloning of domestic animals is now routine in some countries. The goal is to make copies of individuals that happen to have some desirable gene or set of genes. However, there are sometimes significant adverse health effects for the cloned specimens. Partaking in actions that could reasonably be predicted to produce such effects in a human would be quite a problem from an ethical point of view. Doing something that might produce a defective sheep or an abnormally aging chicken is far less concerning than doing it to a human.
Particularly at the early stages, with the first few examples, the chance of producing drastic harm to an individual is quite large.
There are additional considerations that have been beaten-to-death again and again in science fiction stories. Does the clone have rights? Is the clone a human? If a clone is manipulated at the one-to-ten cell stage to not have any brain is it then ethical to grow the brainless body to full size and extract its organs for transplant? Is it even acceptable to do that manipulation? And so on and so forth.
These questions have caused most bio-labs to be very cautious about any research that could involve human cloning or anything related. They are very sensitive, at least in most countries, to being accused of ethically questionable actions. They want to keep their funding and they want to keep the local authorties from shutting them down.
As well, many of the potential benefits to cloning an individual can be obtained through growing cell cultures. For example, lab-grown skin grafts are in phase III trials. It means that burn victims may be able to get a graft from a lab-grown culture of their own skin, thus matching pigment and texture. There have also been significant advancement in other tissues being lab-grown. Heart muscles for example.
So, to summarize: There is significant ethical concern pushing against cloning humans. And the potential benefits are being achieved with other means, thus reducing the postive draw for cloning humans.