It is difficult to answer your question without photographs. However, the scenario that you present suggests that you could possibly have obstructive sleep apnea. A person that has, "no chin," typically has the jaws set back in relation to the cranial base. This presents as microgenia ( small or no chin), an obtuse thyromental angle (the profile neck angle from the thyroid cartilage to the chin - which also causes a double chin with weight gain), and severe snoring. I would highly recommend a consultation with a board certified oral and maxillofacial surgeon who will do a complete work up. This will more than likely include a sleep study. If the results of your exam, x-rays, and studies prove to be positive for obstructive sleep apnea, then maxillary and mandibular advancement (jaw surgery), A sliding genioplasty or chin implant, and possibly a soft palate procedure would be the treatment of choice. I would highly caution you against a chin implant and neck lipossuction prior to a full work up for sleep apnea. If the sleep apnea work up is negative, and the jaws are determined to be in the proper position, then a sliding genioplasty or chin implant and liposuction could satisfy the issues with the chin. Evaluation of snoring and possibly a minor soft palate procedure could also be indicated. Best of luck.