Would chin lipo work for me or would it leave me hanging skin? I am trying to decide between Kybella or chin lipo.

At 39 your skin should respond nicely and tighten up with both options really.  From your photos it appears you would likely need a few treatments of kybella vs. the one liposuction treatment. It really is a patient to patient decision but I get better results with a combination of liposuction with fillers.  A bit of filler in the chin and angle of the jaw along with liposuction really can make a big difference.Hope this helps,Best of luck,DrC

Both Kybella or neck liposuction are good options and will improve the double chin. It depends on your lifestyle and personality which would be better for you. 
Kybella is best for patients that:
1)  Do not want surgery 
2)  Are not surgical candidates 
3)  Not willing to wear a compression dressing around the face for 1 week 
4)  Patient-  The results of Kybella will take months
Kybella take 1-3 treatments every 6 weeks.  Patient will develop swelling and possible bruising after each injection that may last a few days.  The benefit of Kybella is each treatment is quick and completed in the office. However, some patients need more than one treatment to get desired results. 
Neck Liposuction is best for patients that:
1)  Want a single treatment 
2)  One recovery time-  Downtime for neck liposuction require wearing a wrap around face for 1 week. 3)  Less painful 
4)  Quicker results 
5)  Cost is a concern
Neck liposuction is a quick surgical procedure that can be complete while the patient is awake.  It cost around the same price a Kybella and can be less in patients with heavier necks.  The single recovery of neck liposuction may be a better option for some patients.