How shoe may be repaired, outside very cracked (6)
I believe the answer is:
solved
'cracked' is the definition.
(like a police case or a puzzle)
'how shoe may be repaired outside very' is the wordplay.
'how shoe may be repaired' becomes 'soled' (sole can mean to put a new sole on a shoe).
'outside' indicates putting letters inside.
'very' becomes 'v' (abbreviation).
'soled' going around 'v' is 'SOLVED'.
(Other definitions for solved that I've seen before include "Figured out the clue" , "Explained or answered a mystery" , "Deciphered, worked out" , "Puzzled out" , "Discovered the answer to a puzzle" .)