No. There isn't any way to retrieve a chat log from a prior conversation with an agent.
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In other words, when you are disconnected by an agent you have no ability to receive the chat log. Fantastic. Had somebody lie apparently about being a supervisor. Just got off the phone with D Andra. Whatever. This has been a complete waste of 240$ on top of 4 hours of my time today. You have given me the best response which is hysterical.