Fabinho's not someone you would have noticed that much unless Monaco were thrashing someone and he had a chance to show off a bit.
As Goon says, he's just a good all-round player. He's not overly strong or quick, and maybe that'll catch him out a bit in this League, but he's very clever and is a good enough passer not be a weakness, made more impressive by how useful he is defensively.
Also, this idea that Klopp has transformed Liverpool is just not accurate. Speedy has talked about an approach to improving the squad that focused on spending big on young talent--and we don't need Speedy's word, it's clear to see. That process started a number of years ago now, before Klopp arrived. In fact, appointing a manager that could work with these youngsters was part of that plan. Klopp isn't the architect, he's a key component of someone else's strategy.