You should use the garment that your surgeon recommends after liposuction of these areas. In the end however there's no evidence that compressive garments have any effect on the long-term outcome.
Any time that you are post-surgical and you develop chills/fever/swerats, you should contact your surgeon immediately just to make sure that it is not an infection. The body goes through some strange changes after liposuction, but chills and sweating are usually not part of the recovery...