A Dictionary of Dream Symbols
by Eric Ackroyd(2) If you are doing the chasing, the ‘you’ in your dream is probably your conscious ego and the thing you are chasing is almost certainly some part of yourself that frightens you. Chasing it away means disowning it, banishing it from your conscious life. It might be much better to try to integrate it into your conscious life. At the very least, get to know it and understand it.