John Gill Commentary Psalms 80:16

"It is burned with fire, it is cut down: They perish at the rebuke of thy countenance." — Psalms 80:16 (ASV)

It is burnt with fire, it is cut down
That is, the vine of Israel, and the branch before spoken of, alluding to a vine, and its branches; which, when become unprofitable, are cut down or cut off, and cast into the fire; see (John 15:6) , so Jerusalem and the temple were burnt with fire by Nebuchadnezzar, and afterwards by Vespasian.

they perish at the rebuke of your countenance ;
that is, the Israelites, signified by the vine, whose destruction was owing to the wrath of God upon them for their sins; he frowned upon them, and rebuked them in his hot displeasure, and to that their ruin was owing; others were only instruments in his hands. Some understand this as a wish or imprecation, let them that cut down the vine, and burn it with fire, perish at the rebuke of your countenance; see (Psalms 68:1Psalms 68:2) , so the Targum.