Midnight Coders has launched a social mobile app builder that enables Java data push to native iOS apps.
The server updates the data every 1.5 seconds and delivers it to the clients. The iOS client uses a persistent RTMP connection.
The source code for each mobile implementation and the server-side project (with deployment instructions) is available below in the video on a blog here:
http://blog.themidnightcoders.com/index.php/2011/08/01/java-data-push-to-native-ios-android-and-windows-phone-applications/