The USDA, last I heard, had not pinned down the standards for Organic certification for honey. Some states have their own. There is a upward limit of output in dollars before you have to be certified anyway, but to say it's organic and be under that limit you still have to be able to prove you follow organic procedures.
If you use no chemicals and have them on a 500 acre organic farm thats pretty good. But the bees will still forage the 8,000 acres around the hive.