Fliers briefly split lottery (6)
I believe the answer is:
raffle
'lottery' is the definition.
(raffle is a kind of lottery)
'fliers briefly split' is the wordplay.
'fliers' becomes 'RAF' (Royal Air Force).
'briefly' means to remove the last letter.
'split' becomes 'fled' (to split is to flee or run away).
'fled' with its last letter taken away is 'fle'.
'raf'+'fle'='RAFFLE'
(Other definitions for raffle that I've seen before include "Form of lottery" , "Lotto" , "charity event" , "Lottery with goods as prizes" , "Charity lottery" .)