How to make history of user profile field change
 

Removed

The logging is done in includes/class_dm_user.php, in function save(). At first I thought you might be able to add the field you want logged to $user_changelog_fields, but it turns out that the logic in save() check to make sure the field has a previous and new value before logging, and it doesn't work right for profile fields. So I think you'd either need to modify that code or else write your own logging code for profile field changes.