What does yousafzai mean when she says “clip her wings”?

Restrain or reduce.

Explanation:

It means someone's freedom, This metaphor for clipping a bird's wings to prevent its flying away dates from ancient Roman times.

not sure maybe the subject closer to it or subject-verb agreement

it should be

hard work gives a person a sense of satisfaction; likewise, it to pay the bills.

so the punctuation is not correct.