A bite in a dream is usually a symbol of aggression or hostility, either by you or towards you.
If you bite someone in a dream, you are probably feeling angry about something in real life, but are unable to express your anger.
A dream that you bite someone can also be a warning that you need to control your temper and be less aggressive.
A dream that another person bites you means that someone else in your life is behaving too aggressively towards you.
If you dream that you are being bitten by an animal, you are worried that you will not be able to control your primitive, animal instincts.
If many insects or other small animals are biting you in your dream, you are being bothered by many petty annoyances.