Possible Clues:

• Spoil one purchasing can for cocktail
• Drink often garnished with an olive
• Chef James needs one drink
• Caribbean island bans that Parisian cocktail
• Car takes a right into the drink
• Swallow one strong drink
• Cocktail from Caribbean island that Parisian avoids
• ... sort of car without, say, drawing rifle
• Can I spoil first drink
• Caribbean island exports what French drink