clumsiness vs inelegance

clumsiness and inelegance both are nouns.

Word	Noun	Adjective	Verb	Adverb
clumsiness	Yes	No	No	No
inelegance	Yes	No	No	No

As nouns, inelegance is a hypernym of clumsiness; that is, inelegance is a word with a broader meaning than clumsiness:

clumsiness: the inelegance of someone stiff and unrelaxed (as by embarrassment)
inelegance: the quality of lacking refinement and good taste

clumsiness (noun)	inelegance (noun)
the carriage of someone whose movements and posture are ungainly or inelegant	the quality of lacking refinement and good taste
the inelegance of someone stiff and unrelaxed (as by embarrassment)
unskillfulness resulting from a lack of training