WebSocket
A list of WebSocket clients (including .NET ones) can be found here: http://www.leggetter.co.uk/real-time-web-technologies-guide#websocket-client-libraries
.NET 4.5 has a WebSocket namespace and a number of classes: http://msdn.microsoft.com/en-us/library/hh159285.aspx
There also appears to be a Windows Store apps specific class (MessageWebSocket): http://msdn.microsoft.com/en-us/library/windows/apps/windows.networking.sockets.messagewebsocket.aspx
You can see an example of this being used here