It’s not unlikely that a patient will have some sagging because of their poor skin elasticity. Upper arm skin is thin, so it’s more common in this area because it doesn’t contract as well following liposuction. If there is a good amount of loose skin to be removed, then a brachioplasty (arm lift) procedure may be necessary. Brachioplasty involves removing excess skin with an incision that starts under the upper arm area and runs down to the elbow.