
At this point there are no addons available in the game, so the only /legal/ way to do this is to copy pasta things into a document. However I do believe one of the parsers, the one I don't use, does store chatlogs as well. But I'm not certain how that works, and not to mention, it isn't legal. However, everyone uses them, or at least raiders do, and as long you do not speak about it ingame, or harass people with their terrible DPS parsing, SE doesn't care.
But eh, as for legally storing your conversations? I fear you will have to copy paste the text into a document.
But eh, as for legally storing your conversations? I fear you will have to copy paste the text into a document.