Second the vote on Aliphatic, water based carpenter glue. Franklin Titebond, buy it at any hardware home store. The secret is preglue as per below
My recommendation is to precoat the glue surfaces with a thinned coat first, let it dry, sand off the fuzz, hit it with a full strength coat and then adhere with some pins or clamping. I thin the precoat 50% with water, some thin with rubbing (isopropyl) alcohol. I'm convinced the thinned precoat sinks into the wood & really help the grab of the final coat. I use little paint brushes to apply glue. The joint strength rivals epoxy, its low cost & non-toxic. Its also lighter than epoxy & I think also lighter than CA. The Titebond precoat dries fairly quickly & seems to quicken the final assembly full coat dry time.
My oldest flyer is a Midwest TriSquire built in 1979 , that still flies as the day it was new. I used Pica Gluit whch was a quick dry version of these aliphatic type of glue but is no longer available.