I have an HW50S and it does have a slight cheek rest on both sides. I shoot left handed and it fits me very well. If you upgrade to the HW95 Luxus it has a Monte Carlo comb but no cheek rests and is described by Weihrauch as "ambidextrous".

Charter Member
Ancient order of the 1895 Winchester

"It's an insecure and petite man who demands all others like what he likes and dislike what he dislikes."
szihn