I put a rocket together a while ago with TP rolls and styrofoam balls at each end. Then attached them to a regular tube. (Don't ask. building withdrawel night!) Anyway, I used the Titebond II that I use just about on everything for building rockets and it worked just fine. No mess, no reaction to the foam, and everything survived a flat spin after launch and flat hard landing with no damage! The glue seems to hold almost anything together that you might use for a rocket and has done just fine up to and including my This End Up scratch built with "E" power.