My memory is fuzzy, because I quit drinking in 1996. Here's a few things I remember:
Dreams of alcohol. Lots of them. About drinking, about not being able to drink; one way or another, dreams where drinking and booze just featured prominently.
Anger that I couldn't drink. Irrational, sure. Since I could have started drinking again any time - it was my choice. So just this irrational, generalized anger.
If there was a drink anywhere around me, it was in sharp focus and everything else was blurred. Literally. That continued for a matter of months and I really had to stay away from situations where there was alcohol at all otherwise I was just consumed by wanting to drink. And of course many of my friends were drinking buddies and heavy partiers, so my circle of friends changed.
Craving for sugar and sweet things. Quite common in quitting alcoholics.
Yes, I recall actually salivating, thinking about a drink.
Having to remind myself constantly that while the first drink would feel amazing, the inevitableness of getting drunk to blackout had ceased to be fun. And a single drink would lead me there. No such thing as one drink.
Dunno if that's helpful, you asked for physical sensations and I gave you more emotional responses. It may depend on the type of drinker your protag was. I was a very functional alcoholic, ran a business, volunteered and went to graduate school. Not the type who greeted every morning with vodka and spent all my waking hours in a drunken blur. And if I had to, I could go days without drinking (although that was really hard.)