snatch up vs clutch

snatch up is not a noun while clutch is a noun.

Word	Noun	Adjective	Verb	Adverb
snatch up	No	No	Yes	No
clutch	Yes	No	Yes	No

As verbs, clutch is a hypernym of snatch up; that is, clutch is a word with a broader meaning than snatch up:

Other hypernyms of snatch up include prehend, seize, take hold, take hold of.

snatch up (noun)	clutch (noun)
	the act of grasping
	a coupling that connects or disconnects driving and driven parts of a driving mechanism
	a pedal or lever that engages or disengages a rotating shaft and a driving mechanism
	a woman's strapless purse that is carried in the hand
	a collection of things or persons to be handled together
	a number of birds hatched at the same time
	a tense critical situation

snatch up (verb)	clutch (verb)
to grasp hastily or eagerly	affect
	take into your hands deliberately
	hold firmly, usually with one's hands