Welcome Seriously. Not giving up helped me to finally stop. I relapsed more times than I care to remember. Along with not giving up, I finally realized deep down to my core that I could no longer drink with control. With acceptance, I was able to move to preferring sobriety more than I preferred drinking.
But the first few weeks I basically refused to give in to the cravings. When I didn't give in, they diminished greatly in 2-3 weeks.
Are you actively working the Steps? I don't use AA, but most AA members on this site are pretty adamant about the need to work the Steps rather than just attending meetings.
Whatever you do, stick around this site; you will find support an understanding here.