Can Liposuction Revision Be Done Under Local Anesthesia? Cost?

Hi, I had liposuction 8 years ago. I have one large indentation as well as waviness on my left thigh that I have lived with and am sick of. I am going to schedule some consultations but want to be mentally prepared as to cost/extent of surgery/expectations I'll be looking at. Are these issues too serious to be corrected? If it can be corrected,can this lipo revision be done under local anesthesia? And how much estimated would a repair like this cost? Thank you.