As mentioned above, I like paint THINNER (mineral spirits) for a job like this. Always test the plastic, but I can say over many jobs of cleaning adhesive off of boats, cars, aircraft, etc., thinner hasn't let me down and attacked any surfaces that I've cleaned. Not the fastest, but safest IMO. Wipe in one direction, turning the cloth regularly. Use a small cloth folded into a 2" square, keeping it wet. Wax and grease remover kinda feels and smells like it would work, but it just is not aggressive enough.
Anything more aggressive (stripper, acetone, lacquer thinner, etc.) is positively not recommended for that job. Don't even think about it. Any old "dry" adhesive will need to be scraped off.
After all adhesive is removed, clean well with dish soap and water to remove contaminates so any new adhesive will stick. Trust me on this step.