Caveat: does not include last move or ability to see log.
There is also no 'cross' to kill the application.
Good Q. IMO flipped.
Don't use grey on white (top right, the time at Qgil)
Outline to middle. IOW, your 'box' should go little bit down giving Qgil half of the screen, and you the other half.
Actually... let them mirror each other. Your time right bottom, his time right top. Your name left bottom, his name left top. Inbetween is chat log.