I was having a conversation with a friend and realized that I am usually rather obsessed with time as I write my character's stories, but do they actually know what time it is? I think that in general, my characters do not know what time it is. Some of them don't even care.
I think some PC players can say "well I've got this mod that adds clocks" or whatever, so we can assume that the characters of these players have the possibility of knowing what hour, day, minute (etc.) it is. but I started on consoles, and do not have any clocks even in my PC games.
And so as I was having that conversation with my friend, it sort of forced me to think about this. It forced me to consider this.
I have one character who is doing Thieves Guild on Xbox. Occasionally, he will have to be somewhere 'some time around midnight', but other than this he doesn't really have much obsession with time. Come and think of it, a lot of mine will (let's say) go to a shop in the morning, get there, and realize they can't get in the shop because it's too early. They definitely don't bother to check if it's 8:00 AM or whatever.
And my elf archer spends lot of time in the wilderness. She could care less about the actual hour, but she otherwise relies on shadows to see approximately what time it is (if it's morning or noon or afternoon, evening or night) but she doesn't do any quests that require her to be exact with time. Most of her quests are 'fetch this item' or 'find the last two Ayleid statues', and these type of quests don't demand exactitude.
Come and think of it, only one of them (Dyan phor a'Cauz, my Knights of the Nine paladin) cared what day it was. This was mostly because she liked to go to chapel on Sundas. She was obsessed with going to the chapel on Sundas.
My friend likes to RP that if his character is carrying an hourglass, that this is a magical device which tells time. But none of mine carry magical time pieces. I really do believe they haven't got much clue about time.