I know this isn't possible at the moment but would like to suggest something for in the future.
A History of private chats between other agents which only admins can view.
Our selling agents don't work in the same office and they are based around the UK and over seas. it is so quick to chat rather than pick up the phone to other team members through Zendesk Chat. Unfortunately chat's between other agents do not save and it would be good to view historic chats in case it was ever needed.
We can use email but for quickness agents use chat as team members are their to be contacted instantly with a click of a button