shrink wrap film residue- how to remove

As I am currently out of Bestine, I recently used Goo Gone to remove some tape residue. It worked fine, and didn't damage the painted surface I applied it to. Try it, as falconquest suggested, in an inconspicuous location first.

If I were in your shoes, I'd go and talk to people who actually work in repairing that kind of finish instead of just trying things. I'd talk to guys at a body shop who do top notch custom body work. It may be that it needs to be buffed out. I'm sure guys like that have seen what happens when you shrink wrap a car. It's a cool prank, but it destroys a car's finish. The risk of just trying things is you may do more damage or seal in the problem. Waxes tend to soften finishes and discolor them too. I know who I'd talk to in my area, but I don't now where you're at. 

Plain old olive oil on a soft cloth might be a solution. I use it to remove adhesive when I'm out of Goo Gone.. 

Both Goo Gone and vegetable oil are very gentle to most surfaces and you'd probably be fine, but like everyone says, test it somewhere inconspicuous first.

This may be an idea............

https://www.youtube.com/watch?v=y2yzwn172xw

Thanks falconquest for your post. I was thinking of using that one as well. One would figure it does work for high gloss pianos but are grand pianos using water based or oil type paint?