1 Across: Partly-tamed horses (US) (7)
1 Down: Have a happy trip!, ... voyage! (3)

2 Down: Elvis Presley, the king of, ... roll (4,3)

3 Down: Part of speech (4)

4 Down: Outrigger, or ... canoe (9)

5 Across: Burden (6)
5 Down: Cry weakly or softly; or whine softly (7)

6 Down: Live in (7)

7 Down: Truthfulness (7)

8 Across: Called to show disapproval (3)
8 Down: Semi-aquatic mammals with a large flat paddle-shaped tail (7)

9 Across: Coat with a crust (7)

10 Down: Suffix part of 'wastrel' indicating a person as worthless, -... (3)

11 Across: A short form of Kennedy (3)

12 Across: Persons who share rooms with others (4-5)

13 Down: Metal helmet, ... hat (3)

14 Across: A calf cutlet, ... chop (4)

15 Across: British Interplanetary Society (1,1,1)

16 Down: Breaking the unity of (10)

17 Across: Entry (4)

18 Down: To be honest (internet slang) (1,1,1)

19 Across: Con, talk ... (4)

20 Across: Doing again (7)

21 Across: A British person (informal) (4)

22 Down: Country bordering Iraq (4)

23 Down: Game like tenpin bowling (8)

24 Down: Treading heavily (8)

25 Across: Beverages (7)
25 Down: Lenny, a short form of (7)

26 Down: Press firmly (7)

27 Across: Buoyant vest, life ... (6)

28 Across: In full agreement (9)

29 Down: Annual equivalence rate (abbr.) (1,1,1)

30 Down: Former National Soccer League (Aust.&NZ) (1,1,1)

31 Across: Personal savings, ... egg (4)

32 Across: In unison (2,4)
32 Down: It will (cont.) (2'2)

33 Across: MP, Member of ... (10)

34 Across: Evade (4)

35 Across: Overdosing (2'3)

36 Across: Loud ringing of bells (4)

37 Across: Droop (3)