App to block the use of data to specific app

You have : Mobiwol it's also for not Root device.
you can Block any app that you want ,even you can choose if the app work in Wifi\data..
cool app and free so it's great

 

What's your phone? If running JB or ICS, you can do this without the need for a 3rd Party app.

Settings -> Data Usage -> App Name -> Restrict Background Data.

 

You don't want it to connect to the internet at all? I'm not sure that's possible without rooting, sorry.

 

As i had already suggested you can try ad-vanish,it does exactly what requested.It can help with the major part of the apps.It is better to try first the free version.

Free version blocks connection only for 2 apps but it helps you to see how much of them you can block with the full version.