Judge good stopping EU over asylum (6)
I believe the answer is:
refuge
'asylum' is the definition.
(I know that asylum can be written as refuge)
'judge good stopping eu over' is the wordplay.
'judge' becomes 'ref' (referee).
'good' becomes 'g' (abbreviation).
'stopping' indicates putting letters inside (stopping can mean blocking a gap).
'over' shows that the letters should be reversed in order.
'g' placed into 'eu' is 'egu'.
'egu' in reverse letter order is 'uge'.
'ref'+'uge'='REFUGE'
(Other definitions for refuge that I've seen before include "we aim for on the way?" , "The sort of shelter" , "Traffic island" , "Place of safety" , "Safe haven" .)