We have a six month old Buff Orpington that was born with just one eye. She has done just fine and adapted to monocular vision. Of course, that is all she has ever known and did not have to adapt as an adult. It hampers her a bit looking for bugs, etc. It is funny as heck watching her run as she turns her good eye to the direction she is running. I can't say how an adult chicken will adjust but, from reading all sorts of posts in the forum, it seems chickens are wonderfully adaptable creatures. We just watched Tufus (too ugly for us - she's not the prettiest thing) while she was growing to be sure she was getting enough to eat and drink and she has done just fine.
Edited to add that the rest of the flock of 10 birds have never picked on her because of the deformity. It did "weep" for a while while she was growing and we just kept it clean.