Complete
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1 9 11 15 21 23 12 2 16 3 13 4 8 10 17 22 24 5 18 6 19 14 7 20
  1. 1a Post-1947 tension between the Soviet Union and the United States and their allies (4,3)
  2. 8a Not in anyone's possession (7)
  3. 9a Infection of the nervous system from germs in open wounds — eat nuts (anag) (7)
  4. 10a Capital of Georgia (7)
  5. 11a Relating to sound (5)
  6. 13a Swing back and forth (9)
  7. 15a Winner's trophy (4,5)
  8. 18a Irritating (5)
  9. 21a Munster (anag) — flat bone in the chest (7)
  10. 22a Clear (7)
  11. 23a Dilettante (7)
  12. 24a Bizarre (7)
  13. 1d Makes a reference (to) (5)
  14. 2d Admit (3,2)
  15. 3d RAF equivalent to a British army lieutenant colonel (4,9)
  16. 4d Pastoral (6)
  17. 5d Person seeking to go up in the world (6,7)
  18. 6d Heart condition (6)
  19. 7d Recommendation (6)
  20. 12d Spiced stew of various meats and vegetables (4)
  21. 14d Piffle (4)
  22. 15d One cannot stop talking (informal) (6)
  23. 16d Room for manoeuvre (6)
  24. 17d Takes exception (6)
  25. 19d Duplicate (5)
  26. 20d Bumpkin (5)