Short answer
Honey is a liquid at security (cabin limit 100ml, checked unlimited). It's also restricted at many borders — Australia and NZ ban most honey imports outright due to bee disease risk.
General guidance
Rule basis: General airport security guidance — rules can vary between airports and change over time. Confirm with your departure airport before you fly.
What to do: Pack to 100ml per container in one clear bag (up to 1 litre in the UK/EU; quart-sized at US airports) unless you've confirmed a larger allowance at both your departure airports.
Liquid Limits is a travel planning tool, not an official aviation source. Always confirm with the airport before you travel.