Would using kinesiology tape to abdomen following liposuction aid in reduction of swelling?

Hello and thank you for the question. Prolonged swelling after liposuction is a rule, not an exception. Final results can take several weeks to months. Wearing compression garment and massage help with the swelling. Your surgeon is your best resource. Best,
Pejman Aflaki, M.D.
Johns Hopkins-trained plastic surgeon

For over 20 years, I've seen garment used for compression without any major issues after liposuction, and don't see any reason in my opinion at this stage of the game without real scientific evidence to complicate things with more "stuff to do" for my patients such as taping.  Be sure to discuss your goals and concerns with your board certified plastic surgeon and consider the pros and the cons. Be certain your surgeon is properly certified.  I've attached a link where you can start your search. 

Gumbeaux. The compression garment and mild self massage should be all you need for recovery after liposuction. I am not a big fan of deep tissue massage and other aggressive  massage modalities after liposuction because of pain and questionable value. Follow the recommendations of your board-certified plastic surgeon, best of luck.