What does it mean when you get chased by a monkey in your dreams?

Answer 1

Not much. Dreams do not "mean" anything. They are random neuron firings at at time of the sleep cycle that happen to allow individuals to remember the patterns of neurons that fired just then.

Answer 2

One possible interpretation would be that the monkey symbolizes your own negative image of yourself, an embarrassing, foolish, socially inept image of yourself. The dream suggests that instead of really confronting these feelings about yourself that you are trying to escape them. Another possibility would be that the dream is a variation on the metaphor, "he has a monkey on his back." In this case, the monkey might represent an addiction, a bad habit, or even a toxic relationship. Again, the dream shows that instead of dealing with the problem, you are trying to run away from it.