Coffee Break Cryptic

21 April

Across

1 Hot-tempered person in an aeroplane (8)
6 A lot of hair to clean up (3)
9 A poem about baby's first home (5)
10 Pudding right for one who is not serious (7)
11 A Roman emperor owned parts of Iran (7)
13 A carriage for a tutor (5)
14 Trim a tree (6)
15 Open paste (6)
19 Searches thoroughly for hairdressing tools (5)
21 Joy seeing some French illumination (7)
22 Europeans residing in bigger mansions (7)
23 Parts of the Far East (5)
24 The name of a man from Ayr (3)
25 Journey that may make arm tired (4,4)

Down

2 Slow and laborious worker - PC before red revolution (7)
3 Bond takes it back east (3)
4 At home with nurse? That's mean! (6)
5 Ordering Pepsi-Cola - like a bishop? (9)
6 Country taking part in formal talks (5)
7 Rod, pole or - fish (5)
8 He's after fuel cuts (6)
12 Continual instances, perhaps (9)
16 Urge principal to become an intellectual (7)
17 Hate being tested and failing? (6)
18 Poems and essay, say, on Black Sea port (6)
19 American soldier going back in vehicle that produces smoke (5)
20 Tipsy - like Robin's men (5)
23 Song making appearance (3)