No validated domestic process exists for keeping garlic in honey, so no shelf life can be stated for it.
Extension food-safety guidance identifies the combination of a low-acid, high-water-activity food held in a variable-pH, near-anaerobic medium as one for which safety data are not available, and notes that honey's protective low water activity does not describe conditions at the interface with the clove.
What this does not claim: This is not a claim that garlic honey causes botulism, nor an estimate of any risk, nor a statement that anyone who has eaten it has been harmed. It is a statement that the process is untested, which is why no keeping time is given.
- Honey fermented garlic may be risky — Kansas State University Research and Extension (2020) · Industry body