I can't seem to get it working either. Does the forgot password link in the admin work? I tried creating simple email pages and they don't seem to work on this site. It could be a php.ini issue with the configured smtp server. Can you access SMTP logs on this server? Maybe ask your hosting provider.
I created a page: testemail.php
It is the simplest possible email test script, and it doesn't send either. I think it has to be a server configuration issue. Maybe show that page to your hosting provider's support team and ask them why it wouldn't send.
Sometimes the SMTP server can have issues and just has to be restarted.