Definitions for climb up
climb, climb up, mount, go up(verb)
go upward with gradual or continuous progress
"Did you ever climb up the hill behind your house?"
ascend, climb up(verb)
appear to be moving upward, as by means of tendrils
"the vine climbed up the side of the house"
rise, jump, climb up(verb)
rise in rank or status
"Her new novel jumped high on the bestseller list"
to make a gradual ascent or increase
to gradually ascend something