arise vs climb up

arise and climb up both are verbs.

Word	Noun	Adjective	Verb	Adverb
arise	No	No	Yes	No
climb up	No	No	Yes	No

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

arise (verb)	climb up (verb)
get up and out of bed	rise in rank or status
result or issue	go upward with gradual or continuous progress
rise to one's feet	appear to be moving upward, as by means of tendrils
move upward
take part in a rebellion; renounce a former allegiance
come into existence; take on form or shape
originate or come into being