29 6 (4 words) is 1 24 (3 words). 24 11 10 (4 words), but 6 11 36 (4 words).
 

Across

 
3    Secret compartments disguised in most of tables (12, two words)
12    Card game with same elements as brag (4)
14    Prohibit female and male from looking on the dark side (6)
15    Work in three successive notes for tropical protection (8, two words)
17    Bear began to strip identical parts off tree (5)
19    Issuing a term recalled by politician (9)
21    After start of solo, Carmen heartlessly re-created this? (5)
23    Exploiting our party in Government (5)
25    Do harvest from famous playing fields? (8, two words)
26    Reason to shut eye – it’s watery (6)
27    Dukes – one hidden by cardinal in revolution (6)
31    Wiggins, say, not extremely clearly lacking in star quality? (5, hyphened)
33    Escapes contracts having no signature (5)
34    Those served at Oktoberfest accepting victory for German investors (9)
39    Stays longer and earns more tips? (8)
40    Seafood one’s rejected, swallowing affected (6)
41    Gina, covered in this clay, would be not ‘safe’? (4)
42    Dismissal ending in annoyance in own house (7, hyphened)
43    Sub missing in disobedience is something irregular (12)
 

Down

 
2    Extraordinary compositions save on pressure, having equal pressure (9)
3    Movie covers artist making messy mixture (7)
4    Cut contents of plot line (4)
5    Ultimately, ladies you go out with rarely sweat (6)
7    Liverpool lads sinking a jar (4)
8    Mutant hens, rat and asp change form in Shakespeare (10, hyphened)
9    Making ranges of children, ignoring fine priest (7)
13    Division into ones and zeroes? (13, two words)
16    For Pierre, a life in North Dakota is not desirable (8)
18    Anger at hole-in-one, perhaps includes one use of iron? (8)
20    Early plastic as red as 300 switches (10, two words)
22    Shabby month on the road to King’s Lynn? (9, hyphened)
28    Chosen or rejected copy (7)
30    Movie melody incorporates old and new (7, two words)
32    Incorrectly place single alien? (6)
35    Regularly you earn money abroad (4)
37    Henry II describes female reproductive facility (4, hyphened)
38    Fruit about to be eaten by sloth (4)
 
A first prize of £30 for the first correct solution opened on 24 August. 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 2223, The Spectator, 22 Old Queen Street, London SW1H 9HP. Please allow six weeks for prize delivery.