Curt,
I would guess that anything you use will affect the finish on the limbs( a testament to Jack's limbs though, reverse string like that!); I would use a mild solvent, or go to Walmart in the nail polish section.
Buy the bottle of 100% acetone and apply with a sponge, let it sit for a bit then use a shotchbrite pad( the real rough ones) and scrub the CA glue off it.
it may work for you.
worse comes to worse you may have to sand it off and do a re-finish.
If you do I would recommend Thunderbird 2 part epoxy. You can brush it on and it is bomb-proof! My bowyer uses it and my bows have gone thru some stuff that should scratch them; not a mark on them at all! real good stuff.
if you have to take the finish off, sand it off with decreasing grits of sandpaper; finish it off with 0000 steel wool.
Who knows maybe you can sand of the CA glue and only 1 coat of finish. If that happens just a thin coat of poly may fix it up for ya too.
Good luck, let me know how it turns out.
Cary