It is possible that this place represents a side of your personality, something like a perspective on your life. Your associations to this place represent the attitudes, thoughts and feelings as one part of your many-faceted psychology. Because you revisit it, the place probably symbolizes an important facet of your psychology. I believe that recurring dreams usually mean the unconscious is trying to get a message to you about something you are neglecting in waking life. The person may be chasing you because there is something in you that keeps trying to assert itself, and you are running and hiding from it.

What are your associations to this classroom? If you walked into it right now, what would you be thinking or feeling about it? Does it resemble any real place you've been?

Mike