The EM drive is pseudoscientific rubbish. Conservation of momentum is a buzzkill and there's no way around it. As for this discovery, one of two things will happen:
1. They will 'discover' that it uses no reaction mass, in which case it can safely be discredited as pseudoscience.
2. They will discover that there is indeed reaction mass involved. Actually that's what it says there in the article: "Instead, they think the graphene absorbs laser energy and builds up a charge of electrons. Eventually it can't hold any more, and extra electrons are released" If this is confirmed it means that you can't run this for very long because you build up a positive charge and you need to balance this by gaining electrons from somewhere (interstellar gas maybe?) or ejecting positive ions.
If electron ejection is happening then it's really nothing new; we've known that electron guns can propel objects in space. This might lead to new, more efficient ways of using that effect, though. Still, I doubt that the thrust is going to be anywhere near useful for, say, a manned spacecraft. It might be extremely useful for satellites and probes.