One of the biggest problems with native apps on iOS and Android is support for moving from one app to another, but still allowing the user to easily return to the originating app.
At the moment, the only native support for this kind of feature that I can think of is maps support. For example, if you click on a Google Maps directions link on OS X, the Google Maps application is opened automatically instead of maps.google.com in the web browser.
Dunno if this would require a dedicated link button that remembers the app you came from to take you back there or not. Perhaps there is a more elegant solution. It's possible that Hypermedia JSON APIs could play a role in helping people move between apps.
Whatever solution is adopted, making it easy for the user to return to the originating app with ease is of utmost important, because this will create an environment where app developers will fill comfortable partnering with other app developers by including inter-app links.