To dream of chewing gum in a dream represents feeling good thinking about something over and over again. It may also reflect feeling good repeatedly talking about something.
To dream chewing gum being stuck in your hair may represent how terrible it feels to never stop thinking about someone else enjoying talking negatively about you. Difficulty getting a rumor off your mind.
Example: A young woman dreamed of seeing evil people chewing gum and laughing at her. In waking life he was noticing people who hated her enjoying themselves spreading a rumor about her. The chewing gum reflected how enjoyable she thought the rumor about her was to the people spreading it.
*Please See Bubblegum