first thing I would do is ask the one who made it. many times they were kind enough to tell me how or at least give me some direction. I can't be sure if this is actual fur simulation through a 3D software of some kind of 2D distortion effect or effects. there could be some 3rd party plugin that could make this type of thing but it does look very realistic
you can find under distort effects in Ae some effects that could get you close to this type of an effect. this is what I have made with a screenshot of this fur and liquify back and forth. you could do a whole lot better with this effect. also on distort - this maybe could be a work that is done with a carefully designed and animated displacement map. let's see what others will suggest.