Answer:
Goes over all the hills and hollows. Bites hard, but never swallows.
I run around the city, but I never move.
Take off my skin, I won't cry, but you will.
It flies when it's on and floats coming off.
As a whole, I am both safe and secure. Behead me, I become a place of meeting. Behead me again, I am the partner of ready. Restore me, I become the domain of beasts.
All about, but cannot be seen, Can be captured, cannot be held, No throat, but can be heard. Who am I?