Complete
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8 10 13 16 6 5 19 1 17 2 9 14 3 11 15 4 12 18 7
  1. 5a Edgar Rice ___ , creator of Tarzan (9)
  2. 8a Daybreak (4)
  3. 9a Exciting (8)
  4. 10a Restrict consumption of something scarce (6)
  5. 11a Manage — name (6)
  6. 13a Ban any (anag) — Indian national tree (6)
  7. 15a Vocal organ (6)
  8. 16a Swiss cheese (8)
  9. 18a Some time soon (4)
  10. 19a Slavery (9)
  11. 1d Amount (8)
  12. 2d Beginning (6)
  13. 3d City of the 1972 Olympic Games (6)
  14. 4d Flog (4)
  15. 6d Old mounted soldier — mama rants (anag) (3-2-4)
  16. 7d Alcove by an open fire (9)
  17. 12d Where the D-Day landings took place (8)
  18. 14d Relating to one's birthplace (6)
  19. 15d Vladimir Nabokov's novel about Humbert Humbert's obsession with a young girl (6)
  20. 17d Sharp-pointed duelling sword (4)