You're confusing "socialism" with "communist". Socialist societies do not, as a rule, limit ownership of private property. Any that do are usually socialist and something else, like totalitarian or communist.

Likewise a socialist state does not necessarily limit individual freedoms. Communist regimes have, but they're also totalitarian, so which philosophy is to blame is sometimes hard to pin down.

Modern communist societies have also relaxed these restrictions significantly, though there were times when everything was forced communal.