I had so many expressions I wasn't sure my face could fit them all in.
The lion could recall neither a face nor any data to fit the name.
Some people, if their faces fitted, would always rise in the ranks.
His face didn't fit the image, so he couldn't be in the band.
But when your face doesn't fit any more you have to go.
It can also be a hard, cruel world where your face and figure may not fit.
Stu hanging in there, even though his face didn't fit.
While many modern faces still fit this model, other versions of the face character are now also common.
Thirdly, you seem to argue that companies should be able to fire someone just because "their face doesn't fit."
It's easy to say that when you are confident your face will always fit.