Hi,
sorry for late reply, it was a weekend for us.
Is there a way to record/log when a user has updated their email address via easy profile?
Easy Profile extends Joomla user management*, so all plugin to track this for Joomla works with Easy Profile.
To do this you need to write user plugin, but this require PHP and Joomla devs knowledge.
We use LogMan, do you have any integration for this component? (would be really great!)
No sorry, but if this plugin works with Joomla should work also with Easy Profile.
* Registration/edit profile pages (frontend and backend) are the same of Joomla, we use a Joomla user plugin to add custom fields. Tabs are generated by javascript.