If by "bite" you really mean "sting" then you should instead use the "sting" sign. See: STING
If you mean "bite" as in someone or some animal literally clamping down onto some other person, animal, or thing with their teeth then use this sign for "bite."
The dominant hand (my right hand) represents a mouth and teeth. The non-dominant hand gets bitten.
BITE:
Also see: ME
Notes: