Arierising-- I don't know much about you, but I will take some stabs at your dream
1- is there a bf or friend in your life that you want out of your life? Perhaps the fact that you can never get the gum completely out of your mouth signifies that you are having trouble letting go of these people. Maybe you feel guilty about letting them go and the part of your dream where you are able to get rid of some gum may be when you try to separate yourself from these people (thus trying to get rid of them),but they don't get the hint or there is a part of you that doesn't want them to leave completely.
I dunno. There may be something in your life that (past memory or anything that is bad) that you don't want anymore, but it will always be a part of you.