My app needs to know if a user deletes/clears the apps notifications from the notification center using the clear button.
Is there either away to detect when the use
You (ie App) cannot interact with NotificationCenter, NotificationCenter interacts with the user. A user can choose not to receive any push-notifications.
http://developer.apple.com/library/mac/#documentation/NetworkingInternet/Conceptual/RemoteNotificationsPG/Introduction/Introduction.html