The health claims of honey don't seem to be based on evidence, but marketing... it's basically just dirty (contains bacterial spores than can be harmful to babies and the immunocompromised) sugar syrup for humans (but very different for bees). I looked at one claim here:
http://philosophicalvegan.com/viewtopic.php?f=7&t=2875
Some hives, when they're productive, literally drip with honey and it spills out on the ground. In these cases it would be pretty easy to collect that extra for human use and probably not harmful to the bees at all (they WILL collect that honey and put it back if you leave it, but you wouldn't have to bother them to take it).
I don't think there's any reason to do that, though, medicinally or nutritionally. If you want something sweet, your best bet for health purposes is fruit or a non-caloric sweetener like Stevia.
Taking too much honey may be contributing to CCD (it's not clear what all of the variables are, but poor nutrition is probably one), because replacing the Bees' nectar based food that they've processed with sugar (while it's basically the same for humans) is not the same for bees. BUT if you only take a little bit and don't need to replace it with sugar, it probably wouldn't be harmful. If you like honey a lot, maybe ask about the % of honey they take from the bees, and try to find one with a lower %. If some apiary is just taking 10% of the bees' honey, that's probably of minimal harm.
Honey is probably the easier technically non-vegan thing to source ethically if you wanted to.