Clove oil is wonderful for toothaches and other tooth pain.
When using Clove oil for a toothache or tooth pain because of extraction you should dilute the Clove oil with some other oil such as coconut oil and then swirl and swish that oil around your mouth to coat the area with the Clove Oil and then spit the rest of it out.
Don't swallow the Clove oil though make sure you spit it out.
So yes you can put some Clove oil onto a tooth extraction but first dilute the Clove oil with some Coconut oil or other carrier oil.