Remaining English newspaper grabbed by fan (4,4)
I believe the answer is:
left over
'remaining' is the definition.
(I've seen this before)
'english newspaper grabbed by fan' is the wordplay.
'english' becomes 'e' (abbreviation).
'newspaper' becomes 'ft'.
'grabbed by' is an insertion indicator.
'fan' becomes 'lover' ('lover' can be a synonym of 'fan').
'e'+'ft'='eft'
'eft' inserted into 'lover' is 'LEFT-OVER'.
(Other definitions for left over that I've seen before include "Not used up" , "Surplus" , "Spare, remaining" .)