If someone behind you is chasing you, it means something from the past still has a power over you today. While you may feel you are past it, the dream shows that you are still expending energy trying to get distance between you and it. The feeling that comes up in dreams like this is the key. The dream is attempting to show you that there is a link between the past trauma and that feeling today. If a parent is chasing you, it means that you still have issues with that parent today.