Perhaps one with match over in outskirts of Kiev (8)

'outskirts of kiev' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.

'perhaps one with match over' is the wordplay.
'perhaps one' becomes 'kav' (I can't explain this - if you can you should believe this answer much more).
'with' indicates putting letters inside.
'match' becomes 'spar' (both can mean a fight).
'over' becomes 'o' (cricket abbreviation).
'spar'+'o'='sparo'
'kav' enclosing 'sparo' is 'KASPAROV'.

'in' is the link.