'climb up' definitions:

Definition of 'climb up'

(from WordNet)
verb
Go upward with gradual or continuous progress; "Did you ever climb up the hill behind your house?" [syn: climb, climb up, mount, go up]
verb
Appear to be moving upward, as by means of tendrils; "the vine climbed up the side of the house" [syn: ascend, climb up]
verb
Rise in rank or status; "Her new novel jumped high on the bestseller list" [syn: rise, jump, climb up]