The '55 custom is a satin finished guitar, I would assume OP is looking to polish it to a gloss or semi-gloss.I assume that the OP wishes to dull the shine on the finish of his guitar. If so (working with automotive finishes, which are also poly clear coat) I’d recommend using a rather aggressive abrasive compound followed by a more gentle one. Then I would apply a sealant, and recommend 303 touchless sealant applied with a damp microfiber cloth and buffed with a dry one.
But if the OP only wants to rid his guitar of that sticky “poly feel” this can be done by applying Autoglym Radiant Wax Polish, allowing it to dry, and buffing off. All products I have mentioned are available on line from automotive detailing retailers.
That looks nice I have a satin Strat nice tone and nice to the touch!The '55 custom is a satin finished guitar, I would assume OP is looking to polish it to a gloss or semi-gloss.
I have no applicable advice, but perhaps someone might. I seem to recall reading at some point that many factory "satin finishes" are accomplished with an additive that in part of its role reflects light differently...so this may not be achievable. That being said I've seen many satin finishes, including on this model become slightly shinier due to friction from natural wear.
It says: We do not use abrasives, which can harm the original finish of your instruments.