Match crime with a never-ending issue (5)
I believe the answer is:
arson
'match crime' is the definition.
'arson' can be an answer for 'crime' (crime of illegally starting a fire). I also know that 'match' relates to this answer.
'a never-ending issue' is the wordplay.
'ending' says to take the final letters (the ending of the word).
'issue' becomes 'son' (issue can mean someone's offspring).
The last letter of 'never' is 'r'.
'a'+'r'+'son'='ARSON'
'with' is the link.
(Other definitions for arson that I've seen before include "Act of a pyromaniac" , "Fire-raising crime" , "Fire requiring forensic study" , "Pyromaniac crime" , "Crime of fire-setting (5)" .)