Once I was in very interesting situation. I don't know what to do with my chewing gum. And I needed to swallow it. That's terrrible because of my stomach. Now I suggest degestible chewing gum.
Now, with digestible and easy to swallow chewing gum that breaks down in stomach acid and not in your mouth with saliva, you can just swallow it. No mess, no looking for some place to put it.