I feel as if the countdown clock still runs while hatching eggs. It might just be me though.
If this is a confusing question, I basically mean the time when the egg is hatching and you get the screen where the egg is there...hatching. At that time, does the hatching o-power timer still run throughout the egg hatching process?
Yes, you have 3 minutes until the Hatching O-Power times out. During that time, you can hatch your eggs.