I'm not a communist, but technically there are examples of lib communism:
https://en.wikipedia.org/wiki/Makhnovshchina
https://en.wikipedia.org/wiki/Rebel_Zapatista_Autonomous_Municipalities
https://en.wikipedia.org/wiki/Revolutionary_Catalonia
Then again, most lib communist societies can be summed up as "It was doing pretty well for 3 years, then it got destroyed"