Have one's winnings notified initially (3)
I believe the answer is:
own
'have' is the definition.
(to have something is to own it)
'one's winnings notified initially' is the wordplay.
'initially' says to take the initial letters.
The first letters of 'ones winnings notified' is 'OWN'.
(Other definitions for own that I've seen before include "Have in one's possession" , "Possess - recognise - admit" , "Private" , "Acknowledge" , "Posses" .)