The poem is built around a single riddle, and the final word answers it. For three short lines we picture paper being ripped by people who dislike what is written on it. Then the dash and the word "skin" change everything: the paper is a body, and the story is the life or identity a person carries on it.
That turn makes the image feel sharper and more painful. Tearing paper seems small, but tearing skin means violence, and the poem suggests that some people react to who someone is, or what has happened to them, by trying to destroy the evidence. Judging by the wording, the speaker may be talking about prejudice, such as racism or other hatred of how a body looks, though the poem doesn't say so outright.
The mood is quiet, tense and sad. There is no shouting, only a calm, compact description that lets the cruelty land on its own. The speaker seems to feel anger and hurt, but also a steady insistence that the story belongs to the person wearing it.