Enable LIVE CHAT button that will automatically CREATE and STORE all live chats as Online Tickets under each customer's account.
You may CHAT LIVE and afterwards follow-up on that live chat conversation within an online ticket interface.
If both parties are online at any point in the future, both can initiate and continue a new LIVE CHAT session as part of that same topic/ticket.
All related live chat sessions will be stored in that same ticket as a continuous conversation.