Hello and welcome to HCM,
According to the history mentioned by you, you were bitten on the finger.
The bite was followed by tingling, stinging sensation and pain on the fingers.
This could be due to the 
allergy produced by the bite.
In cases of allergy produced by bites, antihistamines are a group of drugs which are effective in controlling the symptoms.
 However, the cause of symptoms on the lips has to be found out.
There is a possibility that the 
tingling sensation on the lips could be due to the bite.
Antihistamines will be effective in case these symptoms are due to bite.
If the symptoms do not disappear, other cause of tingling has to be found out.
Vitamin B 12 deficiency can also cause tingling sensation in the lips.
Thanks and take care
Dr Shailja P Wahal