DOWN
1 Sharp worker fired from a military shelter (6) TRENCH
2 Daughter gets rid of the ruffian’s second letter in a listless manner (5) DULLY
3 Crazy to have gone this way? (7) BERSERK
4,5 Croatian’s ducks harassed in the Caribbean islands (5,3,6) TURKS AND CAICOS
6 German number initially found inside revolutionary Greek letter with the audience member (8) ATTENDEE
8 Keralite, say, with a bird lacking wings in the capital (7) NAIROBI
15 Crown turns up with a Scottish terrier in a Pacific island (8) PITCAIRN
16 The Red Brigade might encourage workers to do this (8) UNIONISE
18 Root vegetable raised by king initially under father’s protection was fairly divided (3,4) PRO RATA
19 American method, practical, for an engineering school to be on top of the announced cut (7) TECHNIC
21 Carribbean islands with an alligator-like reptile (6) CAYMAN
23 Airtight design from Greece went missing in a Pacific island (6) TAHITI
24 Animal tail smuggled to an island
The rest of the answers are in the link below!