I wear a watch, and don’t carry a phone.
My ‘internal’ clock is really about all I need. Wake up automatically at 4 AM every morning....the rest of the time? Don’t really need it per se. There’s too much time all around us every day now. Computers, phones, radio, TV etc..
I look at it this way - Obama and his entire government ignore deadlines, red lines and fine lines so why should I give it any more attention than they?