Swiss If you can't find TiteBond glue, any casein or pva type carpenters glue should work. I have also heard of folks using rubber contact cement. With this you apply the glue to both surfaces(bow and skin) let it cure for a few minutes and lay the skin on the limb. The problem with this is you get only one chance. When the two parts touch, they are stuck!!!
I build only wood bows and use TBIII to glue the skins and Tru-Oil, a gun stock finish to finish my bows, skinned or not.