WebChat automatically save a conversation history, that can be viewed anytime.
To view previous chat history in WebChat just scroll back and through the chat conversation.
City Network supports chat history, so it will continue to load previous messages within a chat window as long as you scroll the window upwards and as long as there is content to load. You can see the timestamps while scrolling the chat history.
In addition, you may want to search within your chat communication history. Fill in your subject (or at least a part of this word) and hit Enter. You will see the results matching to your term.