drive around vs chauffeur

drive around is not a noun while chauffeur is a noun.

Word	Noun	Adjective	Verb	Adverb
drive around	No	No	Yes	No
chauffeur	Yes	No	Yes	No

As verbs, drive around and chauffeur are synonyms defined as:

drive around (noun)	chauffeur (noun)
	a person paid to drive a privately owned car

drive around (verb)	chauffeur (verb)
drive someone in a vehicle	drive someone in a vehicle
drive without any particular aim