It is easy to allow an individual without cPanel master-control-panel access change their Email Password, create an Auto Responder, or setup Email Filtering
Login to Webmail
This is possible by having the email account holder go to http://www.yourdomainname.com/webmail/ and logging in with their email account username (must be full email address) and password*.
Once logged in, this is known as the Webmail junction, one will see Horde, SquirrelMail and Roundcube logo and links. It has several other links to Configure Mail Client, Change Password, and setup Auto Responders and Email Filtering.
Navigate to "Password & Security”. Here you can give a new password for you email address without login to cPanel master-control-panel.