I realise this is something that is likely only achievable in 2.0, but i have not seen any discussion on the matter yet, so i'd like to see what the future of this idea might be.
The chat/game log takes up a lot of space on the screen if it is sized to bother reading, which i'm sure people like to do. For PC users with a multiple monitor set-up such as myself, it would be wonderful to detach this log onto the second monitor and free up all of that space on the main game monitor.