forward WP multisite dev site to live site for non logged in users?

I use cloner to setup dev sites in my WP multisite install. After working on the sites I copy the updates site back to the live site. This works great.

I've noticed more traffic on my dev site recently and I'm wondering if there is a way to limit views of the dev-site to logged in users and forward everyone else to the live site. There seem to be plugins that do this for individual WP sites but I didn't find a way to do this for multisite.

Thanks for the help, and this could be a good feature for cloner to have!