I take 20 mg Citrolopram per day. I noticed the effects within the first couple days, although my doctor said this wasn't common.
The most noticeable effect was that I was calmer and far less aggravated by people and things around me. I did not fly off on frustrated rages. Also, my desire to drink lessened because I felt good, not depressed and anxious.
I've been taking it for nearly three years, and it definitely changed my life for the better. Hope you experience the same.