When a subscriber hits the unsubscribe button on an email, they will be taken to an "Subscription Preferences" page (Fig 1).

Fig 1

From this page, a subscriber can selects the list(s) they want to unsubscribe from, be removed from future emails, or pause subscriptions for 90 days. After clicking the "Update Subscription" button, the changes will take place. 

Note: If Unsubscribe me from all future emails checkbox is selected, the user will not receive any emails from Pinpointe in the future even if you add them to a new list.