It is easy to kid yourself and say that it is just a phase they are going through and that they will stop drinking. The active alcoholic will never stop drinking unless he or she wants to, no matter how much they profess their love to you.
If you do decide to continue dating an alcoholic then it is important to set boundaries.
These are behaviors that you will not accept from your date.
Tell your date what you expect from him/her (in a moment of sobriety) and the consequences if the behavior is not followed. But if you want something better for yourself then I would say to you, bite the bullet and get out while you can.
It is very important that you do not enable your alcoholic boyfriend or girlfriend. However, if the alcoholic in question says they want help then by all means stand by them, but it won't be an easy journey.