Sorry, but I've seen PCs try the "Passing around" trick at the table. It's not something I made up, it's out there.
As I mentioned earlier, however, I'm not really trying to be argumentative, I'm just pointing out that no system is perfect, and the more convoluted the "fix" is for a problem the more likely it is for someone to rationalize a way past it.
When playing 4e I ran into the odd thing: Daily Use items ended up with a dual limit: The item could be used but once, and the PC could use only one Daily item per day/long rest. Which meant that non-combat items like the magic bedroll or campsite-in-a-bag were mutually exclusive. A given PC could set up the camp, or they could use their magic bedroll, but not both. And both excluded the use of Daily use wands and combat other items.
That made convenience items very expensive to use.
And the question of how items "rest", long or short, is poorly rationalized at best, and all too often handled with a "Pay no attention to that man behind the curtain" type approach: People simply pretend that the rules don't apply when they don't want them to.
None of which address my original question about time in a place where the normal measures of time are unavailable.
I suppose the best solution is to say that the game world is flat. There's nothing resembling time zones, sunrise is the same time everywhere, and there is no "land of the midnight sun". That only leaves sunless planes like Astral, Ethereal, all of the Elemental planes, Shadow, the Nine Hells and the six hundred sixty six planes of the Abyss and, well pretty much all of them except Celestia and the Prime Material.
So I still think my question is valid: In game settings where items/powers renew "daily", how do you handle it when the "day" is immesurable?