Complete
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8 9 11 14 18 22 24 1 2 19 3 13 12 4 10 17 15 5 21 23 20 6 16 7
  1. 1a Instrument of punishment used mostly on women — isn't good luck (anag) (7,5)
  2. 9a Titillating (5)
  3. 10a Ben Hur's wheels? (7)
  4. 11a Honey-based alcoholic drink (4)
  5. 12a American illustrator who put 'Rosie the Riveter' on a 1943 Saturday Evening Post cover (8)
  6. 14a Extinct primate (6)
  7. 15a Jot down — LP? (6)
  8. 18a Experienced person (3-5)
  9. 20a Refrain (4)
  10. 22a American folk dance (7)
  11. 23a Ring (5)
  12. 24a Inflatable boat (6,6)
  13. 2d Howl in grief (7)
  14. 3d Low-lying Caribbean islands (4)
  15. 4d Tortilla chips topped with melted cheese and spices (6)
  16. 5d Diamond (as worn by a dame!) (8)
  17. 6d Suggest (5)
  18. 7d Ursa Minor (6,6)
  19. 8d How should I know? (3,2,7)
  20. 13d Male singer's voice (8)
  21. 16d Bird that lays the largest egg (7)
  22. 17d Aniseed-flavoured liqueur (6)
  23. 19d American swot — bedew (anag) (5)
  24. 21d Examine intensely (or superficially!) (4)