Cryptic indications in four clues are incomplete; in each case, the part not indicated is supplied by a 1D (two words). Two unclued lights and the 35 are synonyms of the first word of 1D; each of three unclued lights is defined by the second word of 1D, which is also the surname of a fictional character whose first name is the answer to a clue without a definition.
Across
9 Just disloyal, having time off (10)
14 Run and stop Greek character (3)
16 Take in troublesome situation with navy scattered (6)
17 Complete sphere around family (5)
20 Smirk depressing expert (7)
22 Learner in corrupt turn from direct course (7)
24 Silly rule hit instrument maker (7)
25 Tag, first off, attached to English tree (5)
26 Way of walking with a bagpipe (5)
28 Augment formerly unfinished home (7)
31 Being nervous near trap (7)
33 Hardest reforms for cardinals (7, two words)
37 Loud music in mass and elsewhere (5)
38 Unit designed with area for massage (5)
39 Pods, last in tub, fed to goose by baron (6, hyphened)
40 Pipe cover, not cold (3)
42 Strain altered form of insect (6)
43 Unhappy about tangle with man, grumpy type (8)
Down
2 High priest seen in bazaar once (5)
3 Lackey on demand in extremity (6)
4 Unavailable story mostly concerning birth (5)
6 Wrong to cut rate arranged for wine (7)
7 Room to manoeuvre east and west in field and yard (6)
8 Have to support good members of university (4)
10 Flag put forward in stand (6)
11 Prince in mob deployed old charm (9, hyphened)
12 Not reformed? Need true anger to change (13)
13 Vertebrate sea bream upset (8)
15 Spy worked with fashionable medium (7)
21 Stupid fellow ignoring Dutch saxophonist (8)
23 Turn left after end of track (7)
27 Notice article about unsatisfactory walk (7)
29 Convention about American name for bell (6)
30 Trouble with most of highest bricks (6)
32 Bristly plant grew upward, right away (6)
34 Ban also broken by sailor (5)
36 Messenger exercises in advance (4)
A first prize of £30 for the first correct solution opened on 8 January. There are two runners-up prizes of £20. (UK solvers can choose to receive the latest edition of the Chambers dictionary instead of cash — ring the word ‘dictionary’.) Entries to: Crossword 2339, The Spectator, 22 Old Queen Street, London SW1H 9HP. Please allow six weeks for prize delivery.