ACROSS
 1. <hold> BELIEVE = BELIE V _E
 5. SING outside W = SWING <jazz style>
 8. <very quick> SONIC = SON IC
 9. <some> CERTAIN = CERN outside _T AI
10. <saw> CHESTNUT = CHE + STUNT*
11. <detect> HEAR = (HE AR)
13. <overseas> INTERNATIONAL = INTERN ATONAL outside I_
15. <parrot> COPY = COP + Y
17. <novice> NEWCOMER = CREWMEN* outside _O_
20. <exploit> UTILISE = U TIE outsde L I_S
21. <cancel> ANNUL = ANNUAL - _A_
22. [-n]EARLY = EARLY <ahead of schedule>

DOWN
 1. <simple> BASIC = BA + SIC
 2. <forgiving> LENIENT = N IE inside LENT
 3. CRETE* inside ETA = ET CETERA <among other things>
 4. <support> ENCOURAGEMENT = (MORE NUANCE + GET)*
 5. <positive> SURE = SUR[-d] E
 6. <graphic design> IMAGE = ←(.l)E GAMI(n.)←
 7. <common> GENERAL = GENERA + L
12. (CAR I)* + RAFT = AIRCRAFT <other vehicles>
13. <don't forget> INCLUDE = "INN CLUED"
14. <insignificant> NOMINAL <word used as a noun>
16. PR + I OR = PRIOR <beforehand>
18. <recover> RALLY = R ALLY
19. <Tours for one> CITY = C_I + T_Y