If I were you I would stay away from flavored chewing gums. I think this is a feasible idea but I would definitely recommend just a simple chewing gum complex without the flavorings.
If you ever go to Terra Toys or Toy Joy they will sometimes have a gag gift known as 'Nihilist Gum' which is flavorless and colorless and I would think this would be your best option if you really wanna try this out.
-Steve