To rely financially on one's parents; to live off one's parents (often with a negative nuance).
大学を卒業してもまだ親のすねをかじっている友達がいる。
I have a friend who still lives off his parents even after graduating from university.
いい年をして親のすねをかじるのはそろそろやめたほうがいい。
At that age, you should probably stop living off your parents.
彼は仕事を探すよりも親のすねをかじるほうを選んだ。
He chose to live off his parents rather than look for a job.