if it's a recurring dream it means you haven't faced off with the thing or being that is chasing you. so it's like an unconscious fear that needs to be brought conscious. then it will disappear after u discover the thing or idea that is fearful to you.
I once had a cartoon like monster chasing me in dream. I suppose I was afraid of too many things to be able to analyze why this kept happening. in the dream one night I decided to turn around and let it catch me simply because I didn't want to run away anymore. all I knew then was if I let it catch me, I would no longer have to run night after night. yet when I faced off with it, the monster talked to me, to say, "you're not supposed to face off with me because I thought you wanted me to chase you, now I'm out of a job!" then it disappeared forever to my amazement, it was not real. I had made it up. this taught me how I am really in control as to whether my fears are real or made up.