The Jungian reading
The pursuer is the Shadow: psychic content you have disowned, which gains energy precisely because it is avoided. Jung observed that what we refuse to face inwardly returns as fate — and first as dreams. The chase dramatizes your daily strategy of avoidance; the dream-landscape is your life, and the pursuer knows every shortcut because it is you. The transformative move, in the dream or in imagination afterward, is to stop and turn: confronted Shadows change shape, shrink, speak, or hand the dreamer something.