Well, I have a clock in the wall in front of me that permanently displays the time. I check the time several times a day, for example to check how much time left I have to do something before lunch or going home, or a having a meeting.
I don't know why are we discussing the practical uses of a clock. I can't imagine a life where one is allowed to look at a clock only when an alarm or alert is triggered.
Calendars, clocks, real-time notifications, and video chats are all anti-patterns, distracting developers from their zone of genius. Just send a concise email at the beginning/end of the day/week. (One can only dream..)
Why would you want to have the time displayed permanently? It's such a distraction for developers.
Just set automated alerts for lunch and end of day and that's it.