I've had it before. I know exactly what a person will say and how they say it and what someone else will say back. It doesn't last more than 10 seconds but it's creepy.
Freakiest musical thing that happened to me was when I had iTunes on Shuffle while on the computer, and somebody came into a chat and said their friend had gotten into a car crash.
RIGHT THEN, iTunes started playing Understanding in a Car Crash.
Not a premonition, but I swear iTunes freaks me out with its musical timing all the time.