Possible Clues:

• Shot served with salt and lime
• Quite upset the Parisian spirit
• Leaves, retaining what might be continental, almost, in spirit
• Lady's half cut after quite strange drink
• For which happily quit ale?
• Drink quite a large shot
• Alcoholic drink quite abused by the French
• Alcoholic drink: writer, a bit cut, will get stuck into brew
• Quit ale, strangely, for another drink
• Cover finally blown -- lacing non-alcoholic drink is hard liquor