Will the SE meta sites ever get a chat option?
No. Meta.SO is an exception (like in so many other cases).
For all other instances of chat, the main site will be considered the parent. So there will be chat.nothingtoinstall.com, but no chat.meta.nothingtoinstall.com.
I don't think there needs to be one chat for discussing the site's topic (web applications) and one chat for discussing the site (nothingtoinstall.com). This can very well happen on one single chat site.
That said, Juan is correct in that we hope to roll out the first "normal" chat site next week.