When you are dreaming about being chased, it can mean various things.
It can be Fears of the past chasing you – For example if you are dreaming about animals chasing you: the animals represents your fears from the past still chasing you within yourself from which you are attempting to run away from – Then you have to look within your dream if you are seeing familiar persons or events. When you are dreaming about a past house / environment / mother / grandmother etc... Look at yourself in relation to those things. Is there something or someone you have been running away from, or feeling afraid off/seeing as a threat?
Or is someone from the past, or memories you have about them or it, chasing you still today? What or who re you allowing to chase you?
To be brutally honest about what you think and feel. Because else you will make excuses and justifications for why you for example desire to be seen as a great person.
An awesome online course is the desteni I process, where you peel away the layers of yourself to see who you really are, and what controls this existince. So that we can start to live in harmony with each other, creating a better world for all of us, starting by self-change.