Chatwee does not have configuration instructions for Google Sites.
This is because we can't get into the full HTML in order to insert
their code. I have found a method that works for GS. It puts a chat box
on your page. We can't use the configuration that puts a pop up
link on your page(s).
When the chat loads you will be signed in with a temporary name. You can change the name, create an account or sign in using your Facebook, Google+ or other account.
Click the 3 horizontal line icon:
You can moderate the messages in your forum at the chatwee site in your dashboard under history.