I was about to refer to that
thread, and I'm just realising you wrote the opening post.
Times doesn't exist in the game.
A clock wouldn't mean anything.
Time certainly does exist, it is just that nothing really is dependent on it.
So, yes. Time
somewhat exists (even outside combat, where rounds exist) and the game keeps track of it. But time is currently broken and non-sensical. Having the current day+time displayed somewhere won't make much sense until Larian gets round to fixing time.