I have only done this combination of procedures under general anesthesia. That being said, as my colleagues below have mentioned, it is possible to do this under IV sedation and local anesthesia safely and effectively. If your surgeon has performed this before, is comfortable with doing it through sedation, and most importantly is board certified or board eligible by the American Board of Plastic Surgery, then this should be a safe procedure. However, it is also important to inquire about the board certification of the anesthesiologist as well as the accreditation of the facility where the surgery is being performed. It should be an accredited outpatient surgical facility that is either part of a hospital, has AAAASF certification, be certified by the Joint Commission, AAAHC certified, or be certified by the state department of health you live in. The "local" that is typically used in liposuction procedures is called a tumescent fluid or wetting solution. It is a mixture of saline solution, a local anesthetic such as lidocaine or bupivicaine, and epinephrine to help limit blood loss.