You application is considered an invitation to the CC owner. If he accepts, you're in and don't get further notice - the CC's name will be shown on your (PC) profile page. Frequently, the CC owner will write on your wall (dunno where it is on mobile) or invite you to be their friend.
Be aware though that many CC owners (and their CCs) are inactive. So, the better way may be to "knock on their door" with a note on their wall and wait for an invitation. Also state that you're playing on mobile.