Prize in American lottery raised (5)
I believe the answer is:
award
'prize' is the definition.
(synonyms)
'american lottery raised' is the wordplay.
'american' becomes 'a' (common abbreviation - e.g. in organisation names).
'lottery' becomes 'draw' (I've seen this in other clues).
'raised' says the letters should be written backwards (going up in a down clue).
'draw' written backwards gives 'ward'.
'a'+'ward'='AWARD'
'in' acts as a link.
(Other definitions for award that I've seen before include "Honour, accolade." , "Allotment" , "Bestow" , "Official prize in a draw" , "Endow" .)