Hey Paul, will you try going directly to
https://support.chess.com/customer/portal/emails/new
If you try that and its still not sending, please do update your browser if it needs updating, clear your browser cache (history, cookies etc) then reload the page and try again.
Tried to 'message' admin via their contact form in relation to the thread I started yesterday, as below.
http://www.chess.com/forum/view/suggestions/ipad-chesscom-app
However, after completing the form 'with as much info as poss' as it 'requests.. I press send and nothing happens!
This was on my laptop, not in the 'app'.
I'm sure both of these 'issues' will be a 'simple fix', now that you are aware of them.