Here are the responses I received from Elmers regarding glue and RoseArt regarding their clay:
The nutritionist I recently went to works for an adult Celiac doctor. She said that if I use clay at school (I'm only 13) I shoud scrub my hands really well before eating something that my hands touch. She also said that Elmers glue is known to contain high levels of gluten. I just believed this to be true since she probably knows more about it than I do (I'm only 9 weeks on diet).
Thank you for contacting us regarding Elmer's Glue products.
All products are gluten free except for our brand of finger paints, as they
contain a wheat ingredient and should be avoided.
Mgr. of Consumer Response and Technical Services
Both our modeling clay and Fun Dough contain wheat flour.