If you dream about seeing yourself chewing a gum, then such dream indicates your inability to show yourself effectively. Perhaps you are afraid to be hurt. On the other hand, the dream shows the viscous situation you got yourself in. If you cannot take the chewing gum from yourself, then it shows some situation in your waking life that you do not know how to deal with. Perhaps you feel helpless and stay in stagnation. Dont be afraid, there is no situation that cant be solved.
Read more about dreaming of Gum in other dream meanings interpretations.