Dream about being chased by serial killer is a metaphor for the level of burden or responsibility you are feeling. Perhaps you need to break through a barrier that has been holding you back. You need to be on guard and on the defensive. This dream is a portent for your attempt to do a job that is beyond your capacity. You need to be on guard or alert about a situation.
Being chased by serial killer dream is about your desire for children or your nervousness about a pending birth. You are being followed or chased. You are pacing yourself. It draws attention to pain. You are blindly following orders.
If you dreamt about being chased by serial killer:
It may be that you’ve come back deeply changed from a long voyage. Of course, travel changes everyone to some extent, but in your case, the change is more profound. You’re going to have a problem getting back into your old life. It may feel too limiting for you. So what are you waiting for? Change it!