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 Experienced second-hand (9)
  2. 8a Certain (4)
  3. 9a Showing an exaggerated opinion of oneself (8)
  4. 10a Kind of bag, band or bean (6)
  5. 11a Unveil (6)
  6. 13a Thoroughfare (6)
  7. 15a In need of company (6)
  8. 16a Anxiety about an impending event (4,4)
  9. 18a Experiment (4)
  10. 19a One can go for a ride on it! (9)
  11. 1d Sequence of events (8)
  12. 2d PG or U at the cinema (6)
  13. 3d Feel barely suppressed anger (6)
  14. 4d Edible white head of a cauliflower (4)
  15. 6d Passage cited from some other source (9)
  16. 7d Found — his stable (anag) (9)
  17. 12d Casanova or Marco Polo, for instance (8)
  18. 14d Parts of staircase steps (6)
  19. 15d Second of two mentioned (6)
  20. 17d English rock singer-songwriter, Ian, d. 2000 (4)