Thank you very much for your question. As CoolSculpting involves no incisions or sutures, there is almost no chance for serious complications to arise after treatment. Common side-effects include redness, tenderness, light bruising, and itching. However, these are generally mild and short-lived. There should be no additional risks for you, even though you have been through a hip replacement in the past. I recommend scheduling a consultation appointment with a board certified plastic surgeon, experienced in the CoolSculpting technique, as every doctor will have their own set of protocols. He/she can better determine if you are a good candidate for CoolSculpting and go over the potential for complications.