Real Dictionary

climb
verb: If you climb something such as a tree, mountain, or ladder, or climb up it, you move towards the top of it. If you climb down it, you move towards the bottom of it.
verb: If you climb somewhere, you move there carefully, for example because you are moving into a small space or trying to avoid falling.
verb: When something climbs, it increases in value or amount.
verb: When something such as an aeroplane climbs, it moves upwards to a higher position. When the sun climbs, it moves higher in the sky.

climb in American English
an act or instance of climbing; rise; ascent
to go up by using the feet and, often, the hands
intransitive verb: to go up or ascend, esp. by using the hands and feet or feet only
transitive verb: to ascend, go up, or get to the top of, esp. by the use of the hands and feet or feet alone or by continuous or strenuous effort