Iraqi, driving under influence starts to spill drink (8)
I believe the answer is:
daiquiri
'drink' is the definition.
(I know that Daiquiri is a type of classic cocktail)
'iraqi driving under influence starts to spill' is the wordplay.
'starts to' indicates taking the first letters.
'spill' is an anagram indicator.
The first letters of 'driving under influence' is 'dui'.
'iraqi'+'dui'='iraqidui'
'iraqidui' anagrammed gives 'DAIQUIRI'.
(Other definitions for daiquiri that I've seen before include "Rum-based cocktail" , "Cocktail made with rum and lime or lemon juice" , "Type of cocktail" , "Iced drink of rum, lime juice and sugar" , "A cocktail of rum, lime juice etc" .)