After being tamed they will slowly lose health when not in a hive regardless of food bar. Don't leave them hovering or you will sadly lose all that hard work to get one!
Take it home, make it make a nest at your base, get ghille armour, get your honey plus it produces bees that fight for the queen but the mand nest will hurt you when your close without ghille armour
Wild hives on stones are best harvested by an ankylosaurus. The Dino collects the honey and keeps it from spoiling very quickly. Most of the time no stones are stirred up at all. Up for visibility.