I can not imagine a life without timekeeping, as it implies an exit from the matrix of business, and the carefully maintained house of cards we call cities. I can see this happening in TAZs (Temporary Autonomous Zones) - but not in mundane living.
“Try to imagine a life without timekeeping. You probably can’t. You know the month, the year, the day of the week. There is a clock on your wall or the dashboard of your car. You have a schedule, a calendar, a time for dinner or a movie. Yet all around you, timekeeping is ignored. Birds are not late. A dog does not check its watch. Deer do not fret over passing birthdays. Man alone measures time. Man alone chimes the hour. And, because of this, man alone suffers a paralyzing fear that no other creature endures. A fear of time running out.”