Admits to swindle with grants (8)
I believe the answer is:
concedes
'admits' is the definition.
(conceding is a kind of admiting)
'swindle with grants' is the wordplay.
'swindle' becomes 'con' (con is a kind of swindle).
'with' is a charade indicator (letters next to each other).
'grants' becomes 'cedes' ('cede' can be a synonym of 'grant').
'con'+'cedes'='CONCEDES'
'to' is the link.
(Another definition for concedes that I've seen is " Admits to be true or yields".)
I've seen this clue in The Telegraph.
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