There are benefits to either method (closing, leaving open), and I would recommend that you decide the surgeon based upon experience and results. No drainage after liposuction is unusual, but the amount of drainage can vary quite a bit depending upon the number of areas liposuctioned, the volume infiltrated, the amount of lipoaspirate, and the use of sutures for closure of liposuction ports. The fluid, if not present as a collection, should be absorbed. I personally do not use drains for liposuction, but every surgeon has different protocols. I make very few incisions which I close, and I place the incisions in discrete locations to minimize the appearance. Usually, after a few days, the incisions close on their own.