On the end user application page, you can move the App Chiclets around and arrange them as you like, but we do not have an automated option to order them alphabetically. On the admin dashboard (Applications > Applications), the apps are already in alphabetical order.
@Mihai, is this feature going to be considered in the future? As an admin, it's really frustrating to compare applications when they're out of alphabetical order. I'm speaking specifically when on a user's profile-application page. Directions to the specific page below:
Directory >> People >> [specific user] >> applications