Chasing
Pursuing what is moving away — sustained effort directed at something that will not stop.
Chasing in a dream is the dream's image of sustained effort directed at something that has not chosen to stop for you. The chase requires energy from one side and refusal from the other. The dream brings the action when something in your life — a goal, an answer, a person's attention — is being pursued past the point where the pursuit was clearly welcomed. A chase that closes the distance honestly is the dream telling you the effort is meeting real ground. A chase in which the target stays exactly the same distance ahead is the dream noting that you are spending your stride on something that has decided, deliberately, not to be caught.