Please send in a ticket with the email address you're currently using and the one you'd like to change it to and we'd be happy to get that resolved for you.
http://support.chess.com/Tickets/Submit
Email address change says I am using a throwaway address
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I tried to change my email address from my personal Gmail account to my Outlook.com account, and it is saying I am attempting to use a throwaway address and preventing me from making the change.