I use the regular white GG and I think it grabs quicker than Elmers and Titebond.  I can't use CA so GG wood glue is my go to glue.   I do use the GG foaming glue to skin wings.  I scrape most of it off the skin with a credit card. Mist some water in the air and wave the core through it then apply the skin.  Works for me.  I don't have any clean up as I didn't use the whole bottle on the skin.  you need a very thin layer and it works great. That is just my penny's worth.