No. I generally run alone.
If you're a guy who is semi-serious about training, you should probably stick to running with other guys around your fitness level.
I would run with a chick as a social activity but not really as a means of training. Most girls run too slow/lack the endurance to be effective training partners for men.
In the extremely rare case you find yourself training with an elite female runner, I would recommend you avoid running with her to avoid getting embarrassed (unless its like a short run/warmup etc). The average american is too ignorant of running to recognize genuine fitness and would probably mock you for "being beat by a girl".