Other sites have asked a similar question. I was thinking of simply writing 中文 but I thought it might be interesting to ask others about it.
What name would you like for our chat room?
Why not name it after a famous (real or fictional) tea house or gathering place? Like "Mos Eisley" for SciFi SE. Or even some pun related like 河蟹 (river crab) for 和谐 (referring to Confucius-related philosophy of a harmonious society). Something meaningful -- in spirit of the name plaques that hang over temple/shop/inn entrances.
列： 捕语屋 （a play on the children's song 捕鱼歌）
I think we should do it like this:
Main chat for all things Chinese site-related should have an English name:
Chinese Language and Usage Chat
Chat room intended for PURE Chinese chat (very little English allowed) should have a Chinese name:
Chat room for Chinese chat/discussion using English and Chinese + voice
If needed, dedicated chat room intended for Chinese culture/traditions discussion
Chinese Culture and Traditions Chat