My Doctor is Charging Me for Anesthesia Separately for Two Areas of Liposuction. Is This Normal?

The cost of the anesthesiologist is typically based upon operative time.  The more areas that are liposuctioned, the longer the surgery, the more anesthesia neeeded, and therefore a higher anesthesia cost.  So, in short, what you are describing sounds reasonable.

My anesthesia providers determine their fees based on time. Therefore, an additional area of liposuction would take additional time, and would therefore incur additional expense.  However, other practices probably determine anesthesia fees differently.  It is probably best to just look at the total cost when comparing quotes as long as the same items are included (ie: surgeon's fee, facility fee, anesthesia fee etc.) 

My anesthesiologist charges based on the length of the procedure, regardless of how many areas are being liposuctioned.  I have never heard of an anesthesiologist charging by the area.  It is possible that your surgeon has broken out the billing so you will know what the charges will be should you decide to go forward with only one area of liposuction.