shite, sorry I should have been more clear. :(
I'd try the lighter fluid first, it won't damage or remove the finish. Use a soft cotton cloth, apply the fluid to the cloth and wipe the surface of the guitar. I used it on my Tokai LP and it brought the finish up beautifully.
The reason I say try the lighter fluid first is that a T-Cut type polish will remove a tiny layer of the finish, and I don't see the point in doing that unless you have to.
This is the stuff we use, it's the fluid not the gas.