I stopped drinking caffeine cold turkey nearly 4 weeks ago. I did so because my preferences for caffeine are in soda and fraps from starbucks. Since I am making such a huge change in my overall eating, I have decided to go for the gold and quit caffeine as well. It is one of my biggest crutches. I have blood pressure issues that are only exasperated by the caffeine.
coffee is a diuretic which is counter productive to your post op struggle to keep hydrated. I would suggest easing yourself off the caffeine if possible (that method didn't work for me) as it is easier to deal with the withdrawals. At 3 and half weeks out, I'm still having headaches and symptoms of withdrawal.
Good luck!