move up vs rocket

move up is not a noun while rocket is a noun.

Word	Noun	Adjective	Verb	Adverb
move up	No	No	Yes	No
rocket	Yes	No	Yes	No

As verbs, rocket is a hyponym of move up; that is, rocket is a word with a more specific, narrower meaning than move up:

move up (noun)	rocket (noun)
	a jet engine containing its own propellant and driven by reaction propulsion
	any vehicle self-propelled by a rocket engine
	sends a firework display high into the sky
	propels bright light high in the sky, or used to propel a lifesaving line or harpoon
	erect European annual often grown as a salad crop to be harvested when young and tender

move up (verb)	rocket (verb)
move upward	propel with a rocket
move to a better position in life or to a better job	shoot up abruptly, like a rocket