Clocks have arrived on the scene relatively recently. Having personal devices to mark the passage of time was not useful until industrialization and the need for schedules. Knowing a precise noon became important when that was my train's departure time. Measuring time also needed to be uniform across a country and not just when the sun seemed overhead. Maritime businesses required international standards.
This 20-foot papaya tree in the backyard here, doesn't need an external clock to tell it when to grow, produce fruit, or eventually die.
I always value time away from clocks though. To me, that is the ultimate definition of a vacation: time when clocks are not required. That comes only because there's less need for a schedule. If I have no appointments then I need not match time with others.
This morning, I got up after I had a sufficient amount of sleep not because an alarm clock alerted me to the start of a schedule. The whole day proceeded that way, in fact. We ate lunch when we were ready. My nap wasn't long as my body indicated there was no need to sleep any longer. As we head towards evening my perception of time is that it has been perfect. It wasn't too short nor did I feel as though time stretched out slowly.
People sometimes whine about never having enough time. I think these people should make changes to their lives.