Cryptic crossword No 4,000

Across

1. Private Victor heading off (5)
2. Paper - English Sun perhaps (5)
3. Modelled in Aleppo seductively (5)
4. Suspect errs under submission (9)
5. PM chasing nobody, predominantly (9)
6. Publicise Romeo after Claude? (3)
7. Exercises with fixed bench (3)
8. Princess prepared hot claret (9)
9. Research about work ties (5)
10. Take drug, American pill (3)
11. Impotent, Pan trashed office (11)
12. Lacking current settled accommodation (3)
13. Jack thanks father finally (3)
14. Uncomfortable, badly smeared bras (11)
15. Mock method of payment (3)
16. Dam depth is unusual (5)
17. Subject to sanctimonious Catholic (5)
18. Possession damaged, reship now (9)
19. Catch new Spielberg film (3)
20. Many years in therapy (3)

Down

1. Major, bring in soldier (9)
2. Anything by revolutionary duo (3)
3. Conservative 'Friend' getting angry (5)
4. Trouble with Bill over (3)
5. Harry renews app daily? (9)
6. Butter parent right up (3)
7. Turn vehicle following cycle (3)
8. Sent ferrets darn crazy (11)
9. Relative delicate, conserving energy (5)
10. French flower sounded sensible (5)
11. Recovery actually excluding Spain (5)
12. Disables the criminal set (11)
13. Resort shop closing early (3)
14. Perfectly encapsulating special breakfast? (5)
15. Pets snoop around shelves (9)
16. Enthusiastic duke treated topless (9)
17. Inferior western Headless Steed (5)
18. Mostly standard ... and not (3)
19. A soft old queen (3)
20. City press's first scoop (3)