Right after the liposuction-surgery under the chin, which takes about 30-45 minutes, the results can immediately be seen . It is considered a minor surgery under mild anesthesia, but like any other surgery should be done only by a licensed cosmetic or plastic surgeon. It would be in your interest if you ask the surgeon to give you a "before and after" picture of the chin so you can see difference. If you have plans to undergo such process, consult with your doctor to find out if your state of health allows.
The quicker recovery rate of chin liposuction is usually within the next two to five days after the procedure. Swelling and bruising are minimal to moderate then rapidly subside after liposuction chin surgery.
The results of liposuction is generally realized after removing the compression garments, usually two to four weeks. Compression is necessary so the skin can adapt to the new contour produced by removing fat tissue. Here is the link: http://www.mayoclinic.com/health/liposuction/MY00079