The phrase "drink my face off." implies:

1. The point of drinking to where you cannot feel your face anymore.

2. The help of someone telling you what you did the night before.

3. Drinking so heavily to the point of blacking out.

3. Completly shitfaced. see shitfaced.
Joe: Yo, what do you want to do this weekend?

Clint: I want to go to Atlantic City and Drink My Face Off!
by ElGuapo69 March 25, 2010