Unusual wings of migratory game (5)
I believe the answer is:
rummy
'game' is the definition.
(I know that rummy is a type of card game)
'unusual wings of migratory' is the wordplay.
'unusual' becomes 'rum' (I've seen this before).
'wings of' suggests removing the centre (letters on the two wings removed).
'migratory' with its middle removed is 'my'.
'rum'+'my'='RUMMY'
(Other definitions for rummy that I've seen before include "game of cards" , "Peculiar - card game" , "Card game; strange; like a spirit" , "Odd; card-game" , "Set, sequence card game" .)