snip off
To sever something (from something else) with a quick, clean cut. A noun or pronoun can be used between "snip" and "off." I was so glad when Charlie finally snipped off that disgusting rat-tail. Didn't he realize how repellant it looked? The man snuck into his neighbor's garden at night and snipped all the rosebuds off the bushes.
snip something off (of) something
and snip something offto cut something off something. (Of is usually retained before pronouns.) she snipped a dead blossom off the rosebush. Jane snipped off a bud.