I've seen several cyclists riding non-handed while texting. Another was eating a bag of chips.
Worst was the teen on a BMX who came down a hill and went through a red light at a crossroads with his hands in his pockets. A car with right-of-way clipped his back wheel and he hit the road face first. Not pretty.
Funniest was another teen on a BMX (which had no brakes) racing down a pedestrian only walkway, having to throw himself to the floor to avoid hitting the two coppers who walked round the corner. Bruises and a right bollocking; not a good day for him.
While waiting at a red light, I was once asked by a group of pedestrians if I knew cyclists didn't have to stop at red lights; they expanded to say that car rules don't apply to us.
It didn't appear to be a p*** take, they actually seemed to believe that to be true...