This is the 13696th most frequent Polish word.
podgryźć
"Podgryźć" means "to nibble" or "to bite lightly."
Here, 'podgryźć' is used to refer to biting or nibbling, a physical action on food.
Musiałem podgryźć tę jabłko, bo nie było krojone.
I had to nibble on this apple because it wasn't sliced.
'Podgryźć' is metaphorically used here to imply actions that undermine or weaken someone's reputation.
Rywal próbował podgryźć jego reputację, rozpuszczając plotki.
The rival tried to undermine his reputation by spreading rumors.
The word 'podgryźć' is applied to describe physical nibbling or biting by small animals, in this case, to wires.