Cryptic crossword

ACROSS

1. It's not so good to be so off, and the poorer by it (5)

4. Mum gave the CID nothing – or only a very little bit (7)

8. Lavish outgoings on car avenges tax paid out (13)

10. Choose no leader but vote one in (5)

11. Lay hands on King George and the rating (4)

12. Make way for public address on Victory in Europe day (4)

16. Leaves the stage and strikes set around eleven (5)

17. A cosh used paradoxically to save the living? (4-9)

19. They join the West with those holding church office (7)

20. Lightly valued agents one takes to uncle's (5)

DOWN

1. Crying to the bat to look decorative with pendent branches (7-6)

2. Talk nonsense or be upset by tiptop form (3)

3. Was rubbed out by age, sated at leaving it (6)

4. Was grumbling? No: made a hash of it (6)

5. Scarcity of deuterium on the world (6)

6. Black beetle gets the bird? There's fish to follow! (9)

7. Soundly feel the lack of escapades leading to such mishaps (13)

9. Exceeding fair and blue if at u-turn (9)

13. Folk who upset the Pope, the French (6)

14. Tendons we put back in our transgressions (6)

15. Please turn to 'off' (6)

18. Binding undertaking very often worries leaders (3)