Ohmy, Don’t use Goop if you want to save the wood finish. I love Goop but not for this project.
Get yourself a can of WD-40 which you will find with spray energy suppliers oils most likely home improvement in the automotive section. It is not really an oil and it has a thousand uses, one of which is removing sticky residue without harming the finish. You will have to rub quite a bit but in the end there will be no damage and it works like a charm.
Go to this WD-40 home site and look up the 2000 uses for it.