Dream about something trying to possess me hints your hard work and your devotion to your work. You need to tame the wild forces within. You are feeling emotionally inadequate. The dream is sadly a time where you had less responsibilities and less worries. You are not seeing things that are happening around you.
Something trying to possess me dream signifies a relationship where you are feeling constricted and confined. You are ill prepared for the changes in your life. You are being too materialistic and superficial. The dream signals some minor problems and annoyances that are continually bothering you. You may be getting your hopes too high.
If you dreamt about something trying to possess me:
Although nothing is being said, they may be picking up that all is not well, and feeling quite irritated without really knowing why. If you have an axe to grind, then perhaps it would be better to do this openly, rather than stew quietly.