Just to clarify, when you go to Settings... -> About in the Leap Motion Control Panel, it 2.1.4+22333 (the latest version at the time of writing)?
If Shortcuts starts to open then disappears, it at least appears briefly as Shortcuts.exe in Task Manager before dying, right? Just trying to determine if it's a launching issue in App Home or a crash in Shortcuts.
How about the V2 app Playground? Can you at least run that one? It doesn't require downloading from the App Store.
What's the exact message you see saying you don't have the right version? We do have "An application is requesting features not available in this version of the Leap Motion service. Please install the latest Leap Motion V2 software" but that comes from the Leap Motion Control Panel only after an app is downloaded. Is the error message coming from the Leap Motion Control Panel icon, App Home, or the website (App Store)?