What does 聊斋志异 mean and what is its cultural significance?
According to Revised Chinese Dictionary of the Ministry of Education, ROC:


  聊齋為蒲松齡的書房，志異是說記錄一些怪異的事情，借鬼狐之事，抒發對現實政治、社會的不滿。


So 聊齋 (聊斋) is simply the name of Pu Songling's studio. 聊 could possibly mean "fun" or alternatively "to depend" or "to rely on". 齋 means a study (as in a room in which one pursues literary endeavours). 志異 (志异) simply means "records of strange happenings".