Eventually it goes away - but it takes a while to get back to full max health if you're that deep into alcoholism. The white screen will be the first thing to go. It will still tick down if you have small amounts of alcohol infrequently, but I would recommend going to New Prestonbule in Gazluk Plateau and buying some Dwarven Fixers from Mox Warcut. This will get rid of the side effects for three hours at a time at a reasonable 200 councils per (you might want to buy a few): http://wiki.projectgorgon.com/wiki/Dwarven_Fixer