Sure, share the documents, but running apps over the net - ha!
I despise every time I open an MS Doc or gmail. Just now gmail loaded almost 13MB of "app" - just to show an almost empty inbox, what a waste! And (behind the scenes) it's still loading stuff after almost 30 secs.
Cloud apps are the IT version of supersizing. Morgan Spurlock showed what happens when you use capacity just because it's available - obesity.