If the tissues are thick and mostly fatty, then one can probably have liposuction to thin it out. Remember that there is a delicate balance to fatty tissue removal and how much the skin will contract.
I generally tell patients that I can get out at least half of the amount of fat at one session of liposuction. If you pinch 2 inches you can probably get down to 1 inch. The caution always is that you must consider the thickness of the skin and you also have to consider the probablility of skin contraction.