Whimpers on a ledge catching cold (10)
I believe the answer is:
impersonal
'cold' is the definition.
(similar in meaning)
'whimpers on a ledge catching' is the wordplay.
'catching' indicates a hidden word.
'IMPERSONAL' can be found hidden inside 'whimpers on a ledge'.
(Other definitions for impersonal that I've seen before include "Cold" , "Aloof" , "Objective; disinterested" , "Cool" , "Ignoring one's own feelings" .)