clip (something) from (something)
To cut something so that it is no longer attached to something else. Can you clip this tag from my shirt? I clipped some coupons from the newspaper but totally forgot to bring them to the store with me.
clip (something) out of (something)
To cut something so that it is no longer attached to something else, often a publication (such as a magazine or newspaper). I clipped some coupons out of the newspaper but totally forgot to bring them to the store with me.