Doves sport with great rook from the east (9)

'doves' is the definition.
(I know this)

'sport with great rook from the east' is the wordplay.
'sport' becomes 'pe' (physical education).
'with' says to put letters next to each other.
'great' becomes 'ace' (both can mean a talented person).
'rook' becomes 'skin' (both can mean to con or defraud).
'from the east' says the letters should be written in reverse (on a map from right to left).
'skin' in reverse letter order is 'niks'.
'pe'+'ace'+'niks'='PEACENIKS'