Please try to close the app completely. Double click the home button from the home screen, press and hold the chess.com icon, click the red (-) symbol.
You'll be able to login when you reopen the app :)
iPhone won't log-in
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Have you tried to log in while they were updating the site? You always have to reinstall the app when you do.
When I attempt to log-in to my mobile chess.com application for my iPhone, nothing happens.
This behavior started acting approximately 24 hours ago after there was a schedule downtime.