Answer: MOONSHINE

Moonshine refers to illegally produced or homemade alcohol, usually distilled in small quantities, often in rural areas. It is called "moonshine" because the process of producing it often took place at night ("under the light of the moon") to avoid detection by authorities.

Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: Illegal product that's still made?. Explanations are generated by AI and may be inaccurate.