Can you use clomid even if you ovualte?

My husband and I have been trying for 22 months now to conceive and nothing has worked... I had surgery in the beginning of august to remove one ovary and tumor, but my tubes are clear and my other ovary looks perfect according to my doctor.. I had to take cabergoline to make my prolactin levels go back to normal. They were elevated bc of the tumor.. all of my blood tests say I ovualte and everything else is great. My doctor asked me if I wanted to be put ob clomid and I told him I would wait one cycle and then maybe try if nothing happens. Well my cycle started yesterday... should I ask to be put on clomid? Does it have high success rates even for women who ovualte?