I have the Scientific Atlanta Explorer 8300HD hi-def DVR box with HDMI connection from Time Warner and the remote works perfectly with it. I run the HDMI thru my receiver and I have HDMI from receiver to TV. All I have to do is push one button "watch TV" and all devices turn on. It's great!
It will be compatible with anything you need it to be. Through the web interface, it knows most devices... but it is also a learning remote, so you can use the remote from your Time Warner device to teach it. However... I'll bet it knows it already.