By all means, eat the fat of the meat!!! That's the great thing about low-carbing...I haven't read Neanderthin, but every other low-carb book I've red is pro-fat. And, if the premise of Neanderthin is that you eat as the Neanderthals did--I don't think they trimmed any fat off anything, they ate any fat they could get their hands on, I would bet!