Hello, I was looking for a way to separate out my conversations from the non applicable parts where the research topic began and then naturally rolled into a conversation.
I actually think it’s a strong feature idea. 
Split Conversation
Allow users to select any message in a chat and create a new conversation starting from that point. The original conversation remains unchanged, and the new conversation contains the selected message and everything after it.
Or even expand it a bit:
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Split here: Create a new chat from this message onward. -
Move selected messages: Select a range of messages and move them into a new chat. -
Prune conversation: Remove selected messages from a copy of the chat while leaving the original intact. -
Keep both versions: Never destroy the original unless the user chooses to.
It would be useful for so many situations:
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A medical question turns into a funny conversation.
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A coding question becomes a discussion about career advice.
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Vacation planning morphs into restaurant recommendations.
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A brainstorming session branches into multiple unrelated projects.
Instead of one giant, winding conversation, users could “fork” it into clean, focused threads.