We have intentionally not added a live chat feature, at least not yet. It would be fairly simple to do as we have the same functionality for live topics.
However, Live Chat can drain away content from your forum and make what could be useful rich topics for future people (and Google/SEO) to enjoy more vapid and disposable.
Our solution was Live Topics which gave you a time limited chat feature that can convert into a normal topic upon completion so that content isn't lost.
I think the case for live chat as a constant companion is weak honestly. If you have a really busy forum then you do not need an extra place for people to talk, and if you have a really quiet forum, you won't have enough people in a live chat area at the same time to do anything constructive.
Chat boxes used to be a popular add-on but in most cases, it was generally populated with "Hello?" messages from weeks ago. If people want to chat, they're going to do it via a well trodden path in their routine, that could be Discord, WhatsApp or snapchat. They're unlikely to deviate from these routines because of a chat box on a forum they may visit daily or weekly.
This is why we built Live Topics. It gives you an event based platform that people will make time for to come together for a short fixed time to discuss a topic live.