Local issue that's not serious (5,4)
I believe the answer is:
small beer
'that's not serious' is the definition.
(informal phrase for an unimportant matter)
I can't explain the rest of the clue.
(Other definitions for small beer that I've seen before include "Something unimportant" , "Trifle - half a pint?" , "Trivial matter(s)" , "no significance" , "People or things of no importance" .)