The dozen unclued lights can be arranged in a specific sequence when preceded by or followed by their sequence indicators which do not appear in the puzzle. But, two clued solutions happen to include the second word of the sequence! All but one (at 19, with an apostrophe) of the dozen resulting phrases can be verified in Brewer or Chambers. Ignore two accents, and 15D includes an abbreviation.
 

Across

1 Talk of money for hidden store (5)
10 Hurry up and organise a change of home (10, four words)
11 Firebomb constituent buddy found in Asian country (6)
12 Hardly protection from the rain (7)
14 For separating an area of the airport (5)
16 Greek disheartened beautiful French girl (6)
22 Temporarily lose range after half a mile returning to church (8)
23 Gala certainly shows these stars (7)
27 Mostly work fast to become wealthy (7)
32 Greatly exaggerated at the start on the left-hand page (6, two words)
34 Former naval people run in all directions (5)
35 Dirty article removed for relation (5)
36 Surprisingly, ring USA for these weapons? (7)
38 Guiding principle — longed to change order (10, two words)
39 Facing early light serving up teas to protected children (9)
40 Junior clerics no company for cathedral administrators (5)
 

Down

1 Study award record kept by grandchild for field of molluscs (10)
2 Decline and Fall (5)
4 Nuisance clinging to mother is the most soppy of the lot (7)
5 I am easily shocked at city getting licence to publish (10)
6 Fade away, rather like a Welshman? (7)
7 Stendhal hero changed roles (5)
8 Person back in a mo? (9, two words)
13 Swimmer agrees to leave dodgy clearing house (7)
15 Letter writer puts a line badly (6, two words)
17 Endoscopic experiments in no time (10)
18 Formed separatist group, getting wine and cake (7)
20 Party coming up — in real trouble as dancer (9)
26 Birmingham landmark having deterioration beneath, we’re told (7)
28 They’ll strip off for the police no longer (7)
31 Entry achieved, apparently, to bar (5)
33 Students’ demo is wrong about sex (5, hyphened)

 
A first prize of £30 for the first correct solution opened on 8 October. 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 2377, The Spectator, 22 Old Queen Street, London SW1H 9HP. Please allow six weeks for prize delivery.