I know about two different chats.
One is addonchat. There are free and paid versions available. pretty simple installation. Just copy the code in your blog, site or if u don't have a site there is a URL that they give and you can use that to chat with people.
For detailed info :- http://www.addonchat.com/
This chat uses their own servers/resources and does not cause any extra burden on 000webhost servers.
Another one is generally called parachat. I don't have much info about it. I found these links through google . Hope these links help you
For parachat I don't know if their servers are used or 000webhost servers. You can contact their support team for that.
Sales & Support: 1-866-528-2242
Contact Page link:-
Note:- I have no intention to promote or advertise any company or business. I have found this information and provided it for helping the users.