Rename a web app

Is this just as simple as renaming the app after waiting for the DNS changes to propagate?

I bought a domain name from and setup a CNAME as follows and set the host to I have waited about an hour, tried to change the name, but it would not work Is there something else I should be doing

You need to rename your web app to "" and use the identifier shown afterwards (something like as a value for the CNAME record. See the help page.