Run through stores let out in border region (10)
I believe the answer is:
shropshire
'border region' is the definition.
(area on the England-Wales border)
'run through stores let out' is the wordplay.
'run' becomes 'r' (cricket abbreviation).
'through' is an insertion indicator (inserted letters go through the word).
'stores' becomes 'shops' ('shop' can be a synonym of 'store').
'let out' becomes 'hire'.
'r' placed into 'shops' is 'shrops'.
'shrops'+'hire'='SHROPSHIRE'
'in' is the link.
(Other definitions for shropshire that I've seen before include "largely rural location" , "county" , "Region of England" .)