I am far from knowledgeable on the subject, and my religion is not Jewish.
Nonetheless, I once made reasonably in-depth inquiries and think I learned:
1. Honey may be deemed Kosher
2. Kosher Honey must be so "anointed" by a Rabbi.
3. The Rabbi's # 1 concern (and perhaps his/her only concern) is going to be the cleanliness of the processing operation.
Hope this helps,
Lloyd
Lloyd Spear, Owner of Ross Rounds, Inc.
Manufacturer of round comb honey equipment and Sundance pollen traps