Climber's soft shoe (7)

I believe the answer is:

creeper

I believe this is a double definition.

'climber's' is the first definition.
(I've seen this before)

'soft shoe' is the second definition.
(I've seen this before)

(Other definitions for creeper that I've seen before include "low-lying plant" , "Trailing plant" , "one going up the wall after 8 [STATE = VIRGINIA]" , "Climbing-plant" , "Say, Virginia" .)

I've seen this clue in the Evening Standard.

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