Tricky one! A few parses I'm not entirely sure about, like 10A, but otherwise pretty fair.
Across
- 1
- Leave in observation booth (11)
COMPARTMENT — PART (leave) inside COMMENT (observation) - 7
- Sprinkling with pronounced cry of relief (3)
FEW — homophone (pronounced) of PHEW (cry of relief) - 9
- Secretary pinched an expert solution to all problems (7)
PANACEA — AN ACE (expert) inside PA (secretary) - 10
- Stone added another stone to ten-gallon hat (7)
STETSON — ST (stone), anagram (to) of STONE - 11
- Shorten any long stuff (5)
NYLON — hidden in aNY LONg - 12
- Youngster putting on bands and roping in bell-end (9)
STRIPLING — STRIPING (bands) with L (last letter of bell) inside - 14
- Flying start left a dash or sprint with no hurdles (4,4)
FLAT RACE — F (first letter of flying) L (left) A TRACE (dash) - 15
- Goddess later divided non-drinkers (6)
ATHENA — THEN (later) inside AA (non-drinkers) - 17
- Get back in after changing gear (6)
REGAIN — anagram (changing) of GEAR, IN - 19
- Bridge partners carried off rum top bid (2,6)
NO TRUMPS — anagram (off) of RUM TOP inside NS (bridge partners) - 22
- Showing or hiding? (9)
SCREENING — double def. - 23
- Tear up yearbook, except the first of August (5)
ANNUL — ANNUaL (yearbook) without a (first letter of August) - 25
- Revolutionary following reflected at diplomat's post (7)
ATTACHE — AT TA (reflected), CHE (revolutionary) - 27
- Small discount, in slightly bad taste (1,3,3)
A BIT OFF — double def. - 28
- Top lairds went missing every so often (3)
LID — odd letters of LaIrDs - 29
- Risk premium on greedy man's corruption (6,5)
DANGER MONEY — anagram (corruption) of ON GREEDY MAN
Down
- 1
- Mafia boss and northern bird fattened for the table (5)
CAPON — CAPO (mafia boss) N (northern) - 2
- Hand run down a folder paper (7)
MANILLA — MAN (hand) ILL (run down) A - 3
- Gold coin artwork, about just the reverse (2,9)
AU CONTRAIRE — AU (gold), anagram (work) of COIN ART, RE (about) - 4
- Carry on, say, drawing up scant ensemble (8)
TRANSACT — reversal (up) of ART (drawing) anagram (ensemble) of SCANT - 5
- Safeguard in case of gentlemen's urethritis (6)
ENSURE — hidden in gentlemENS UREthritis - 6
- Article mothers take to heart (3)
THE — central letters of moTHErs - 7
- Celebratory charge covering its upcoming victory (7)
FESTIVE — reversal (upcoming) of ITS, V (victory) inside FEE (charge) - 8
- Snifter of gin we splashed out on, girl (9)
WINEGLASS — anagram (splashed out) of GIN WE on LASS (girl) - 13
- Master plan designed to lock one into fatherly care (11)
PATERNALISM — anagram (designed) of MASTER PLAN containing I (one) - 14
- Every bit beneath wood counter (9)
FORESTALL — FOREST (wood) ALL (every bit) - 16
- Approximate duration of dietary fibre (8)
ROUGHAGE — ROUGH (approximate) AGE (duration) - 18
- Extremely glassy and considered spun (7)
GYRATED — GY (outside letters of glassy) RATED (considered) - 20
- Day in a second rainy season (7)
MONSOON — MON (day) SOON (in a second) - 21
- Modelling is done from the right or the left (4-2)
SIDE-ON — double def. - 24
- Cuckoo to fly high in the sky (5)
LOFTY — anagram (cuckoo) of TO FLY - 26
- Mock recording about love (3)
COD — CD (recording) containing O (love)