The dream state is more likely to bring up any fears in order to show you how they are limiting your life and creative/spiritual expression. Spiders are a common symbol to represent an irrational fear. Dreams will often try to get us to face our fears in the dream state so that we can heal them there. As in waking life, however, we tend to avoid things we'd rather not face. That's when you have dreams of being chased (running away from facing something that scares you).