Hello,
Whether Avast in one of its products, can introduce the possibility of preview in the session record for outgoing and incoming connections, i.e. www addresses and the ip number with which the user connects, eg the Avast SecureLine VPN application.
Avast already has a register of such sessions set by the user, it may not be a problem to provide such service to its clients.
I think that it would be a great solution and appreciated by many users. You can limit the preview in sessions to 24 hours for its preview, with the ability to save the session results by the user to a file on your device. Session connection control is normally difficult without root in the system. The option available in the application mentioned above will allow to satisfy curiosity and gain the trust of users. Personally, I am able to pay extra for this service;).
Regards, Kijana