Cryptic crossword

ACROSS

1 Improvises as daughter inside

bails out (2-4)

4 What’s needed to log in American before touring Vietnam? (8)

10 Pompous crowing involving

doctor in charge (9)

11 Player’s agent ignoring fine (5)

12 Type of furry creature – work

with very large number (7)

13 Annual publication bound by

local man, a craftsman (7)

14 Victor leaking wife’s secret (5)

15 Former sweetheart, model, dancing round apartment, briefly (3,5)

18 A theologian facing ruin, then Greek character backed supplement (8)

20 Husband sitting in pleasant

recess (5)

23 Western flea, unusually large

thing? (7)

25 Conspirator died close to huge

waterfall (7)

26 Band in bad taste originally,

upon reflection (5)

27 Simon, perhaps, having tot with

painter right away (9)

28 Ritz, say, providing more

comfortable time for male (8)

29 Member of the clergy in park

by hill (6)

DOWN

1 Delicious food in the morning? Bishop more cheerful, we hear (8)

2 Satirise a politician taken in by

simple-minded person (7)

3 Head removed from fish covered in cheese in restaurant (9)

5 Radical comes to fancy party

member (6,8)

6 Newly-created earl, leader of

men in field (5)

7 Word of opposite meaning –

not many for changing (7)

8 What could be nicer? Hotel

upgrade (6)

9 Small cap designed to meet the needs of duke crossing battle site (8,6)

16 Comes down on head

creating scene (9)

17 Rat in waste, rolling about (8)

19 Fall away, so give up (4,3)

21 Talk about run out round island in ceremonial carriage (7)

22 Second look at cloth sample

(6)

24 Schoolchild’s young dog left

lying under one (5)