Yes, clove oil works great to relieve tooth pain. It is good it has a carrier oil in it, and where you are only using a drop it is fine. I still tend to tell people to try not to swallow too much. One thing you can do to protect your stomach lining, is to eat some foods rich in olive oil, like black olives :) They are soft so shouldn't harm your tooth, and yet have plenty of oils to mix in your stomach with any clove oil you swallow.
If they have you on liquids, blend up an avocado into some juice, because that will do the trick too.