Across:
   1,9. Swimming nude, drown in the antipodes (4 5)
   5. Tool used in garden around American home (5)
   8,5dn. As 23 statement, sincere would-be prince detailed mountain, giggling with pictures created (4 3 5)
   9. see 1
  10. Heard 32 down? (5)
  11. Lean leaning? (7)
  12. What the 5 across said in 2008 ultimately contributes to our greater dignity (5)
  15. It can contribute to light, or chaos (5)
  18,32dn. Cooked 12 cake, as Europeans used to call 23 (having 'discovered' it in 1872) (5 4)
  21. Put forth and began removing king (6)
  22,25. Here, deep in the 38 of 1 across 9? (3 3 6)
  23. You crawl, you stagger, you finally realise you can't climb it any more! (5)
  24. Kid like Billy might have one, being badly spoilt (6)
  25. see 22
  26. Vulnerable after government's latest 'adjustment' (5)
  29. 32 down, for example, turned poem (5)
  32. Rapid start to summit ruling out phosphorus attacks (5)
  35. Rent-a-party for whirlwind action (7)
  36. Big name in Sikhdom to perform on heroin (5)
  37. You might use it for rapid negotiation, once a problem (5)
  38. Bush attacked Cuba? OK, about time! (7)
  39. Furry little fellows from 1 across 9 with currency abroad (5)
  40. Some grog poured back with first couple of 39 wiped out (4)
Down:
   1. Coats wattle bud as directed (5)
   2. Bird ultimately in for time in water? (5)
   3. When duo sung, they alternated, as not 11 across (6)
   4. Not as fresh as before, thief losing some energy (6)
   5. see 8 across
   6. Song dropping introduction to get 7y tone (5)
   7. Land, the stuff of 5 down (5)
   8. Start to fall apart in attack after losing round (4)
  13. Sketch with funny lout in English opener (7)
  14. Spun nonsense with a modern type of talk (7)
  16. Global division of 1 across 9 plot, a C.I.A. one (7)
  17. In chronicle, a redefining of what colonists generally did to native lands (7)
  18. Grown up ahead of time ... laud development! (5)
  19. Ooze sex naked, even without a pole (5)
  20. Stabbed and knocked king out (5)
  27. Heat of conflict, then month not working (6)
  28. 1 across 9 town fear a ration cut (6)
  29. He indulges bias to exploring, ends up being first European to encounter 23 (5)
  30. One possessing, with right? (5)
  31. Spirit of those displaced (5)
  32. see 18 across
  33. Victor not first at 5 down (5)
  34. Pete's insane brew (5)