You'd be logged into your "home" instance, which gives you the permissions you need. You click a link on the remote site, which takes you (either directly via URL handler or indirectly via central site redirect) to your home instance with appropriate values filled in, and prompts you to confirm (to avoid CSRF).
That sounds like federated two-click cloning, not federated one-click cloning. Maybe you could batch up the confirmations and get federated 1.1-click cloning?