What does pricing look like for a very small bit of Liposuction?

Based on the photograph it looks as though the area could be treated for $1000-$1500. General anesthesia probably would not be needed.

Cost factors vary significantly for a number of good reasons: Prices
vary greatly because the surgery itself encompasses a wide range of
techniques that can be performed to different extents. My recommendation
is to first find the most qualified surgeons where you want the surgery
performed that are board certified by the American Board of Plastic
Surgery you trust, then compare prices between them. See the below link
on suggestions on how to find the most qualified plastic surgeon for
your procedure. General Factors that influence the price of plastic
surgery include:
1. Location - Will it be performed in a hospital with an overnight
stay, an independent out- patient facility or a doctor’s office?
Geographical location also has a significant influence. RealSelf has
average charges for most areas of the USA.
2. Type of Anesthesia - local, IV sedation or General Anesthesia?
Will a board certified anesthesiologist, nurse anesthetist, or an RN be
used?            
3. Experience and training of your surgeon. The best
and longest trained is most often a plastic surgeon board certified by
the American Board of Plastic Surgery           
4. Length and Complexity
of Surgery - how difficult will your surgery be and how long it will
take, etc. Will other complementary procedures also be also performed
during the same surgery?

With such a small amount of fat to be treated, I recommend considering non-invasive options.  There is no risk of surgery and minimal to no downtime.  I would use SculpSure for you. Make sure that which ever plastic surgeon you visit offers good surgical and non-surgical options so you get what you need, not what they happen to have. Top treatment options in my opinion are SculpSure, Smartlipo, and Coolsculpting. In my experience cost range for SculpSure is $1440-$1700 for one treatment.  You may need one or maybe two treatments. Smartlipo ismore like $3000-$5000. Goodluck in the competition!