I created a test team member (to simulate a client access to their own, specific application) and, yes, on the Application (tab), they only have access to the application (their website) I assigned them to.

However, there is still the Server (tab) and it appears that my client has access at the server-level, too, because I see, on the upper right panel, icons for Stop, Restart, Delete, Add App and Clone; giving me the impression that my client has server-level access, too.

I don't want my client to have server-level access. I just want them to have Application-level access to one or more applications (websites) that I have built for them. Would that be a new feature, or is the Server (tab) user-interface simply misleading me to believe that the client has server-level access?

This is sorted.

Now you can create a team member for your clients with just access to a specific application:
https://support.cloudways.com/collaborate-project-with-team-feature/

This has been deployed in the context of our complete permissions overhaul:
https://support.cloudways.com/which-is-the-difference-between-master-credentials-and-application-credentials/

Cloudways Team

Agreed! Coming from cPanel to cloudways, the performance is amazing, but for my clients, they're going from a full control panel to SFTP and DB creds. Thats it. Wish I could offer them much more.

The only reason i am moving to cloudways over from cpanel is because it gives different sftp account on application level but if we can even provide access to other features of the application in team on application level that would be great.