Attention given to story run previously (7)
I believe the answer is:
earlier
'previously' is the definition.
('earlier' can be a synonym of 'previously')
'attention given to story run' is the wordplay.
'attention' becomes 'ear' (ear is a kind of attention).
'given to' means one lot of letters go next to another.
'story' becomes 'lie' (I've seen this before).
'run' becomes 'r' (cricket abbreviation).
'ear'+'lie'+'r'='EARLIER'
(Other definitions for earlier that I've seen before include "in days of yore?" , "Formerly" , "Beforehand" , "Rare lie (anag)" , "Former" .)