Would make it easier for users to capture hilarious chat moments that might span multiple screens without having to scroll back up, take a screencap, and repeat ad nauseum. Or in order to make it a bit more streamlined, have commands set so you can export chat logs of a specific type from your own chat window (i.e. if you want to export guild chat logs, indicate something like /export guildchat and it'll just copy the green stuff).

Potential downsides would be people using it to chatgrab everything possible, but if someone's patient enough they can just type out what was said like a stenographer and no one would be any the wiser anyway. This would just be a much simpler way of sharing funny chat moments with people who might find the conversation as hilarious as you did when it happened. and without SK's chat window having the ability to use timestamps or clickable URLs anyway, I really can't see this being a negative addition to any of the chat functionality SK has (which admittedly isn't much, ergo suggestion time).