Gum is chewed without ever being swallowed, so it is read as going over the same thought again and again. Gum stuck in the mouth or hair stands for a problem that clings.
When this appeared in your dream, what were you feeling?
My Cosmic Code has a private dream journal. Write a dream down and the app picks out the symbols in it, shows what dream books say about them and, over time, which words recur across your entries. The journal is stored on your device only.