Dream about being chased down suggests depression or anger. There is a barrier obstructing your progress. There are small problems and annoyances that need to be dealt with. This is a metaphor for a slippery or elusive situation. You are not allowing others dictate how your should look or act.
Being chased down dream indicates you are in a dead-end job. You feel that you are unable to take charge of yourself. You have a tendency to hear what you want to hear and not what was actually said. This is a portent for feelings of being eating alive by work, a relationship or a situation in your life. You are experiencing feelings of inadequacy and fears that you are not measuring up.
If you dreamt about being chased down:
You may feel indecisive, insecure, and stuck in the middle of a difficult situation. Your energy could be drawn in one direction while your self-confidence is pulled in another. This dilemma has to do with your inability to integrate different aspects of your life that you try to keep separate. Try to look at things in terms of the whole. Notice how your actions in one part of your life have a ripple effect everywhere else.