I have used clove oil several times for an infected tooth. I live in a very rural area, so there are no stores that carry clove oil. I mix ground cloves and canola oil to make a loose paste. I put the mixture on with a q-tip and within minutes the pain is gone. Usually the swelling along with the pain are gone in a few days after a few applications each day.
Broken backtooth with nerve pain. tried teabags first, helped for a night or 2. tried garlic next, helped for another 2 days but the smell sucks.
THEN I got clove oil which turned out to be the miracle worker, smell isnt too bad and can burn but def thankful for its taken most the pain away. I use a drop or 2 twice a day, then chug water after cuz the slight burn.
Also try to keep mouth clean with oil pulling and hot water & sea salt swish.