“he will throw a figure in her face, and so disfigure her”
Wordplay
Act 1,
Scene 2
Lines 105-113
Grumio
Besides the obvious meaning of hitting Katherine in the face with an object, a second meaning is that Petruchio will use figures of speech that will “disfigure” her, or leave her speechless.
As for the part about leaving her with no more eyes than a cat, although this must have meant something to Shakespeare’s audience, no scholar today has a clue to its meaning.