Test first! Please test your residue remover in an unnoticeable area first to make sure there will be no damage to the surface. This is especially true for wood, painted surfaces and any high gloss finished surface as the agents in some removers can dull the surface and or discolor them!
Make it quick. Think of tape like a band-aid. Removing it slowly allows flow and separation, creating more stickiness (and pain!), while ripping it off in one motion makes for a clean, less painful removal. This is not necessarily true for all surfaces; this is an ideal technique for tape that has been on for a few days while the tape is still tacky, but if the tape has dried out take a little more time to take it off not to damage the surfaces as the surface may also be affected if the tape has been on too long especially painted walls.
Scrape it. To remove small amounts of construction adhesives from your paneling, molding, and floor, use a putty knife to scrape the adhesive off. Just be careful not to drive the edge of the knife too hard on the surface to avoid causing damage. (For stone or mirrored scratch-resistant surfaces, consider using a straight blade to scrape residue away.)