The first use of Neptune complex was back in February when it saved Mykolaiv from Russian landing group

Українська правда

The first combat use of Neptune, the Ukrainian coastal mobile complex with anti-ship missiles that sank the Russian missile cruiser Moskva on 14 April, was in the first days of the war. Then the Ukrainian missiles did not hit the targets but saved Mykolaiv from the Russian landing. https://www.pravda.com.ua/eng/news/2022/12/13/7380504/

Source: pravda.com.ua