recompense vs recoup

recompense is a noun but recoup is not a noun.

Word	Noun	Adjective	Verb	Adverb
recompense	Yes	No	Yes	No
recoup	No	No	Yes	No

As verbs, recoup is a hyponym of recompense; that is, recoup is a word with a more specific, narrower meaning than recompense:

Other hyponyms of recompense include reimburse.

recompense (noun)	recoup (noun)
the act of compensating for service or loss or injury
payment or reward (as for service rendered)

recompense (verb)	recoup (verb)
make payment to; compensate	regain or make up for
make amends for; pay compensation for	retain and refrain from disbursing; of payments
	reimburse or compensate (someone), as for a loss