Recombinant DNA cloning is the simple cloning of a gene that his been around since 1970. This is used most commonly by scientists for lab study and research.
Reproductive cloning is taking an already existing being and making an exact copy of that being containing all the same nuclear DNA.
Therapeutic cloning, also know as "embryo cloning" which is used to create cloned embryos for research purposes. The use of this is mostly for stem cell research, so that scientists can find methods to treat human diseases.