oddment vs fag end

oddment and fag end both are nouns.

Word	Noun	Adjective	Verb	Adverb
oddment	Yes	No	No	No
fag end	Yes	No	No	No

As nouns, fag end is a hyponym of oddment; that is, fag end is a word with a more specific, narrower meaning than oddment:

oddment: a piece of cloth that is left over after the rest has been used or sold
fag end: the frayed end of a length of cloth or rope

oddment (noun)	fag end (noun)
a piece of cloth that is left over after the rest has been used or sold	the frayed end of a length of cloth or rope
something unusual -- perhaps worthy of collecting	the time of the last part of something