put away vs fling

put away is not a noun while fling is a noun.

Word	Noun	Adjective	Verb	Adverb
put away	No	No	Yes	No
fling	Yes	No	Yes	No

As verbs, put away and fling are synonyms defined as:

put away (noun)	fling (noun)
	a brief indulgence of your impulses
	a usually brief attempt
	the act of flinging

put away (verb)	fling (verb)
turn away from and put aside, perhaps temporarily	throw with force or recklessness
eat up; usually refers to a considerable quantity of food	move in an abrupt or headlong manner
kill gently, as with an injection	indulge oneself
place in a place where something cannot be removed or someone cannot escape	throw or cast away
stop using
throw or cast away
lock up or confine, in or as in a jail