I do not recommend neck compression after Kybella injections, as I do not find it particularly helpful. The inflammatory response Kybella induces is typically most pronounced in the first few days after injections, and usually takes a few weeks to resolve completely. I find that the inflammatory response tends to be less pronounced with subsequent treatments, likely because there are fewer fat cells for Kybella to dissolve.My post-Kybella recommendations include icing, sleeping elevated, and massage of the treated areas starting at a few days after injections. I recommend you touch base with your injecting physician for clarification on post-procedure instructions. Good luck!