Sleep is often read as a testimony to primal feelings such as anger or fear.
chasing someone - you are trying to overcome some difficulties; in a negative sense, a dream may mean that you often resort to aggressive behavior
be chased by someone - you will win if you do not let yourself be disturbed
chasing the child - although you will lose a lot of time, you will gain someone's friendship
chase the bus - do not be discouraged by temporary difficulties
chasing - keep calm and distance from conflicts and your behavior will soon pay off
chase the animal - the bad mood will end when you trust someone more.
More dream interpretation: