I just tried this. Something happened (warning: very acrid, corrosive smoke, avoid!!) but I didn't get fire.
I used a very large drop of glue on a cotton bud.
Fortunately someone has done this experiment for us. It seems you need *a lot* of glue:
http://www.youtube.com/watch?v=9F11lfW6WsQGoogle gives a lot of hits on this subject, including "avoid the smoke"- do this outside.
Be careful.