climb up

(verb) go upward with gradual or continuous progress. Synonyms: climb, climb up, mount, go up. Example: "Did you ever climb up the hill behind your house?."

(verb) appear to be moving upward, as by means of tendrils. Synonyms: ascend, climb up. Example: "The vine climbed up the side of the house."

(verb) rise in rank or status. Synonyms: rise, jump, climb up. Example: "Her new novel jumped high on the bestseller list."