face saving vs achievement

face saving and achievement both are nouns.

Word	Noun	Adjective	Verb	Adverb
face saving	Yes	No	No	No
achievement	Yes	No	No	No

As nouns, achievement is a hypernym of face saving; that is, achievement is a word with a broader meaning than face saving:

Other hypernyms of face saving include accomplishment.

face saving (noun)	achievement (noun)
an act that avoids a loss of face (of dignity or prestige)	the action of accomplishing something