Excuse the maybe ignorant question, but I have no feeling for the prices: is this 1$ Tip on a 3$ beer or more like 1$ tip on a 15$ cocktail?
If you're on a tab, you tip at the end, but a slightly larger cash tip on your first drink will get you much faster service the rest of the evening.
I know it's just a different culture and I try to give a decent tip when I'm in the states as my lack of understanding will not improve the situation but it's still fubar.