Dreaming of biting into a piece of fruit or other food indicates that you will soon take hold of a long-term problem and bring it to a resolution.
Dreaming of biting someone you know is usually a wish-fulfillment dream, expressing anger, either overt or repressed, toward that person and a desire to punish him or her. Dreaming of biting a stranger, or an animal, indicates a psychological conundrum that needs to be brought to the surface and resolved.
Dreaming of being bitten by a person is a harbinger of treachery and betrayal - and if you know the person, be careful what you say to him or her.
Dreaming of being bitten by an animal implies the revelation of someone else’s secrets - that you’d really rather not know. This also could be interpreted to mean that you should avoid becoming involved in the affairs of others.