I've seen homemade versions of this being used by our guys in Iraq. They had basically stitched the desert shirt sleeves onto the zip neck whicking t-shirt that you get issued. It actually makes good sense when you are always wearing body armour.
Hold back the rants !! We do have the same style shirt, cammo arms with elbow padding and base layer type torso. It was being trialled by 20th Armoured towards the end of Telic 8, and by all accounts was a good bit of kit. I would think its in general circulation now for Herrick and Telic.
There was even a top with built in aircon, but that was a not as effective and still at an early stage.