(1) Climbing may be a symbol of ambition or success. Does the climbing fill you with fear; or do you feel giddy when you reach the top? If so, this may symbolize a fear (unconscious) of ‘coming a cropper’. Perhaps you need to sort out an inferiority complex. On the other hand, the dream may be a warning. There is such a thing as climbing too high. ‘Pride comes before a fall.’
(2) Are you climbing (a tree, for instance) to escape from a fierce animal or to save yourself from a river in flood? This would symbolize an attempt to escape from some emotion, some inner disturbance; or from some external situation - at home or at work.
(3) Climbing a mountain may give you a panoramic view. This might mean that you desire - or need - a more detached view of yourself or your situation; that you need to get things in proportion; or that you need to lift yourself above mere material values.
(4) On the other hand, climbing a mountain may be a form of escapism, and the mountain an ivory tower where the world and your problems (external or inner) can be left behind. Needless to say, anxiety, resentment, inner conflict can never be left behind; not, at any rate, until you face them and talk things out with them. Otherwise, wherever you are, they are. (For ‘talking things out’)
(5) Climbing a wall, particularly if it has jutting-out bricks or stones that you can take hold of, may (Freud would say must) represent, for a male dreamer, sexual intercourse. The protuberances are symbols of female buttocks and breasts.
On the other hand, it may express (a need for) liberation - for example, from irrational or neurotic constraints; from a habit of selfdenigration; or from a state of morbid withdrawal from life.