Thanks for asking the query,
in the chin can be due to injury to the any facial nerve
at the time of the procedure due to which you are experiencing pain and tingling sensation
I would suggest you to visit to an Oral Surgeon and get the checkup done.
Take x-rays if needed, depending upon which the treatment will be decided.
Meanwhile vitamin B containing preparations can help you to some extent.
Maintain a good oral hygiene
, use antiseptic mouthwash gargles twice daily.
Hope this helps out.