Hmm... that sounds like a good idea. I was playing someone in South Africa last week... and out of nowhere, he goes, "Well, it's getting late. I should go." Now, I don't know what time it was there, but it would have been nice to know so I could relate to what he said.
My suggestion

Yes exactly, and I think it would be interesting to know too by just by looking over at a little box now and then

instead of us re-inventing the wheel, maybe just keep this open somewhere: http://www.worldtimeserver.com/ :)

instead of us re-inventing the wheel, maybe just keep this open somewhere: http://www.worldtimeserver.com/ :)
Yeah fair enough. I realise it will probably be more hassle than its worth. Just thought it would be a good little feature to have a local time displayed for your opponent.
Thanks for having a look and considering it anyway

These two conversations also contained some suggestions ...
http://www.chess.com/forum/view/community/whats-the-time-mr-wolf
http://www.chess.com/forum/view/general/simple-local-time-note
Ok maybe not the normal type of suggestion, but I think having a little applet on the right that says the local time for your opponent, along with 'time conversion' type of feature.
Basically, I was playing someone who said 'can we carry this on at 2pm' and I can put that time in the applet that will in turn tell me what my local time will be. That way I can quickly answer, rather than trying to work out the time difference depending on daylight savings and such like.
Would be very handy and probably unique to the site