Tale of cheated-on husband leaving in a storm (8)
I believe the answer is:
anecdote
'tale' is the definition.
(an anecdote is a funny story or tale)
'cheated-on husband leaving in a storm' is the wordplay.
'husband' becomes 'h'.
'leaving' suggests deleting specific letters.
'in a storm' indicates an anagram.
'cheated'+'on'='cheatedon'
'cheatedon' with 'h' taken out is 'ceatedon'.
'ceatedon' anagrammed gives 'ANECDOTE'.
'of' is the link.
(Other definitions for anecdote that I've seen before include "Short enteryaining tale" , "Neat code (anag.)" , "Yarn" , "A short amusing story, probably true" , "Short narration" .)