Greetings!

I'm setting up a Customer Community for my clients to access my instance of salesforce to open and track their own Cases.  I went through he setup steps outlined to enable users and was in the process of testing the visibility of community users to their cases (where they are the contact on the case) and discovered that while logged in as a community user I can see all cases, and can open the records.

Is there a permission setting for Customer Community I am missing?