How can I ease tongue pain? Dentist cut it with drill.

Multiple ways. Swish with 1 tablespoon of coconut oil several times per day. Spit the saliva and coconut mixture out in the sink. Take an over the counter pain med such as tylenol (acetaminophen) which is good for pain, while Motrin can help with any swelling. Typically tongue injuries heal rapidly.
Benzocaine. It is in some medicines like oragel and cankaid. It is a topical anesthetic that can help numb the pain. Your tongue should heal quickly but keep it cleaned up.