Man finds limit gets hard (4)
I believe the answer is:
chap
'man' is the definition.
(I've seen this in other clues)
'limit gets hard' is the wordplay.
'limit' becomes 'cap' (capping is a kind of limiting).
'gets' is an insertion indicator (gets can mean captures or absorbs).
'hard' becomes 'h'.
'cap' enclosing 'h' is 'CHAP'.
'finds' is the link.
(Other definitions for chap that I've seen before include "Cracked patch (of skin) - gentleman" , "we prefer not to have on hand" , "Man, boy, fellow" , "Cracked skin patch caused by cold" , "(Of skin) become sore" .)