Locally, specific to this component we can set a 'loading' or 'pendingSave' state variable and change the button message while that state variable is true
Do the same local state variable but have a different place for the message
Implement an application-wide message/notification system. We might be able to leverage current application-wide modal system for this... or it would take similar form but be something else. It's a bigger project, but we could use it anywhere else we want to send notifications..
(sidenote: I've already implemented a version of 1. in #199 )
Something simple like displaying "Draft Saved!"