It depends on what the OML is. Plenty of pilots out there missing fingers etc, even met one private with monocular vision.
Problem is the job - it's ok to get the OML once your in but opening the door with one is that much harder - your just more of a risk/expense to them and may cost more in medical costs etc. Remember some companies have even higher medical standards than the class 1.
Regarding CPL test - as long as you have the class 1 - it doesn't matter about the OML or not - you've met the requirement laid down by holding the class 1, it doesn't specify further.
Good luck.