chase away vs shoo off

chase away and shoo off both are verbs.

Word	Noun	Adjective	Verb	Adverb
chase away	No	No	Yes	No
shoo off	No	No	Yes	No

As verbs, shoo off is a hyponym of chase away; that is, shoo off is a word with a more specific, narrower meaning than chase away:

chase away: force to go away; used both with concrete and metaphoric meanings
shoo off: drive away by crying `shoo!'

Other hyponyms of chase away include fire, clear the air, banish, shoo, shoo away.

chase away (verb)	shoo off (verb)
force to go away; used both with concrete and metaphoric meanings	drive away by crying `shoo!'