To dream that you are being chased signifies that you are avoiding a situation that you do not think is conquerable. It is a metaphor for some form of insecurity. In particular, to dream that you are chased by an animal represents your own unexpressed and unacknowledged anger which is being projected onto that animal. Alternatively, you may be running away from a primal urge or fear.
Live for yourself. Love those around you - but realise they have their own agendas.