Can neck liposuction cause permanent swelling along the veins in my neck? (Photo)

I had neck liposuction and a chin implant 5 weeks ago. My neck seems to be healing well, except there is swelling along my anterior neck vein that does not seem to be improving. When I tilt my head backwards I can feel a tight pulling sensation run down from my chin area through my neck along this specific vein. Could my chin implant be pushing down on my vein causing this ? Is there anything that can be done to bring down the swelling ? I appreciate any feedback.