If you only get lipo under the chin, do you have to wear a facial wrap band around the head to reduce fibrosis?

massage, RF like forma or legacy, compression, and botox all help to reduce risk after liposuction on the neck/jawline.
If you are unhappy with your results please speak to your physician and ensure he was a full body VASER HD liposuction physciain wtih expensive experience in body shaping and not just traditional fat reduction.  At this point you should be using compression, RF treatments like venus legacy / exilis ultra / inmode forma or contoura and lymphatic massage to get you through healing.   We always add shock wave therapy such as cellutone, z wave, and eclipse evive to help prvent scar tissue formation and ensure an even and smooth result. It will take 6-12 months to see the final outcome.   If you are unhappy you can get a revision procedure by an expert in VASER HD lipo.  Best, Dr. Emer.

You have to be aware that previous liposuction (and cryolipolysis) treatment of the area will cause fibrosis and make further treatment difficult if not impossible. 
Vaser liposuction is a technique essentially to remove fat and the trauma to the subdermal layer will give a degree of skin tightening. The more fat is removed the more dramatic the change in appearance
Wearing a band around the head: We advise out patients to wear it for three days, day and night followed by 10 nights. It helps to prevent haematoma and initiates the skin to redrape onto the platysma. 

Head wrap is used to ensure that the lifted skin reattaches to the neck. Fibrosis can be countered using Accolate medication and topical Radiofrequency treatments perfomred at 2, 4, and 6 weeks.