The unclued lights, (two of two words), individually or as two pairs, are of a kind, verifiable in Brewer 19th edition. Elsewhere, ignore one accent.
 

Across

 
11 Jersey, perhaps, one’s left with (6)
12 Bangers for men like Ben Gunn (7)
14 Poor Ben repressing shout of joy for girl shedding tears (5)
15 Donne is out facing a side that’s short (5, two words)
16 Unusual countdown — not out — an endless milk supply? (6, hyphened)
17 Work and then times for entertainment (6)
19 Carbohydrate you reportedly waste on a small room (9)
21 Distracted in Paris before Dutch union’s leader leaves — denial it’s a French town (7)
26 Rodents’ homes with computing aids (9, two words)
29 Disreputable type in street, he throws out (7)
30 Says again ‘Fears funny business involved’ (9)
35 Old blend in Italy just before 2010 (5)
36 New township now left in the centre of things (5)
37 Deposit extra to cover area at home (7)
39 Whisked in eggs with new Chinese tonic (7)
40 A nervous meeting? (7)
 

Down

 
2 Cricket side needs total to rise, that’s plain (5)
3 Hospital cautiously revealing powder (4)
4 Girl put on weight? Right, I’ll tell the world (9)
5 Yeomen distributed card for cash (6, hyphened)
6 Identified boy embracing pretty girl (8)
7 Look around in district for special type of circle (6)
8 One illness to suffer in isolation (10)
9 Robots add iron splinters to sulphur (8)
10 He takes steps to entertain, and sure is troubled (7)
20 A source of humiliation, though not for Mother Hubbard? (8)
22 Indolent girl making a stand (9, two words)
23 Sort of spirit expected to turn up — a no-good gnome possibly (8)
25 Tearing madly around the tracks and worrying (8)
26 Having a business get-together (7)
27 Period of press decline (7, two words)
28 Tack that is initially produced in metal (6)
29 Strikes the wrong time on board (6)
31 A piece torn off? (5)
34 Two celebs’ centre parting? (4, hyphened)
 
A first prize of £30 for the first correct solution opened on 18 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 2241, The Spectator, 22 Old Queen Street, London SW1H 9HP. Please allow six weeks for prize delivery.