Why do the tips of my teeth hurt when im hungover?

Nerves. Alcohol messes with your nerves. It is a progressively destructive agent. The hangovers get worse and the symptoms get more painful. Pain in the tips of your teeth sounds mild compared to how bad it can get. Don't get "stuck" out there, unable to stop. It becomes more difficult to get your life back once you "cross the line." relationships, finances, cars and homes eventually fall away.
Unclear. Review of the literature does not suggest a cause for dental pain related to alcohol intake. It is possible that you are clenching your teeth after alcohol overdose and this is causing pain.