Across:
1 The criminals in the property business perhaps (HOUSEBREAKERS), provided shelters (shelters/ houses = HOUSE-S) accommodating one of the white horses (‘white horse’ wave = ‘roller’ = -BREAKER-) (HOUSEBREAKERS),
10 Rushed off one’s feet (ON THE GO) agitating (= anagram indicator) The Goon (The Goon = ON THE GO),
11 Workers (-MEN-) in mine (PI-T-) find old (-O) (PIMENTO) spice (PIMENTO),
12 Leave out (SKIP) shish kebab starters (shish kebab starters = SK-) with duck (dip) beginning to go off (d) (‘dip’ without ‘d’ = -IP) (SKIP),
13 The crowd watching the play (the HOUSE) from all sides today (HOUSE on all sides of today’s grid),
15 Hoaxes (CODS) on both sides of Cook Islands (on both sides of ‘COok IslanDS’ = CODS),
17 Low number (ONE) locked up in Indonesia (locked up in ‘IndONEsia’ = ONE),
19 Used to (used to) trouble (= anagram indicator) (used to = OUSTED) one of those booted out of office (OUSTED),
21 Small (S-) spot on the bottom (‘spoT’ on the bottom = -T-) of the foot (-ARCH) (STARCH) creates a type of stiffness (STARCH),
22 Parking (P-) by empty (empty/remove the middle: ‘a’) place (‘lay’ without ‘a’ = -LY-) in ugly (= anagram indicator) Rome (Rome = -O-MER) (POLYMER) compound used by those working in the plastic industry (POLYMER),
23 Bloom (OUT-) gets the green light (-LET) (OUTLET) for opening (OUTLET),
25 Trim (cuts) is out of control (‘wild’ without ‘d’ = WIL-), almost (l) overcrowded (‘full’ without ‘l’ = -FUL) – WILFUL) in a wayward way (WILFUL),
27 One of those from The Hill (ANT) involved in vigilantism (involved in ‘vigilANTism’ = ANT),
29 Sides with alcoholic beverages (sides with ‘ALcoholic beveragES’ = ALES) sold in the public houses (ALES),
30 Sides (EDGES) of fried potatoes (wedges) with no starter (w) (‘wedges’ without ‘w’ = EDGES),
31 Fragment of memoir antagonises (fragment of ‘memoIR ANtagonises’ = IRAN) Turkish neighbour (IRAN),
34 Develop (GROW-) case (-BAG) (GROWBAG) for the money-makers on dodgy ground perhaps (for the “money-makers” tomatoes on dodgy ground/poor ground = GROWBAG),
35 The philosophy of accepting common sense (REALISM) is (-IS-) dividing the monarchy (realm = REAL-M) (REALISM),
36 Wedding setting perhaps (HOUSE OF PRAYER) in the Sistine Chapel, for instance (HOUSE OF PRAYER).
Down:
2 Lays one’s hands on something (OBTAINS) floating (= anagram indicator) in boats (in boats OBTAINS),
3 Look out for (SEEK) saying (= homophone indicator) – the religious type (‘sikh’ = ‘seek’ = SEEK),
4 Mistake (BOO-BOO) two unfinished (k + k) volumes (‘book + book’ without ‘k’ = BOO-BOO),
5 This won’t cover up (EXPOSE) something similar to 18 down (EXPOSE similar to ‘strip’),
6 Earth from theme park (‘earth’ from ‘theme park’ = mepk = KEMP) grows on sheepish type (KEMP),
7 Managed (RAN-) judge’s workplace (court) briefly (t) (‘court’ without ‘t’ = -COUR) (RANCOUR) with acrimony (RANCOUR),
8 Accommodating type that takes in lodgers presumably (HOUSE OF ORANGE) derived from Will’s pad? (William of Orange’s pad = HOUSE OF ORANGE),
9 Really famous celebrity (HOUSEHOLD NAME) from Dynasty (HOUSE-), Rocky (= anagram indicator) Homeland? (homeland = -HOLD NAME) (HOUSEHOLD NAME),
14 Setting someone free (UNTYING) with tiny gun (tiny gun = UNTYING) shot? (= anagram indicator),
16 Keep at arm’s length (repel) upsetting (= reversal indicator) (repel = LEPER) social outcast (LEPER),
18 Heat is off therapist (‘heat’ is off ‘therapist’ = rpist = STRIP) to lay things bare (STRIP),
20 What’s the point (DOT) in documentary dismissing numeracy? (‘documentary’ dismissing ‘numeracy’ = dot = DOT),
21 Work in the clothing factory (SEW) encapsulated by prose writer (encapsulated by ‘proSE Writer’ = SEW),
24 Drunk (= anagram indicator) Merlot (Merlot = TREMOL-) that’s initially oaky (initially ‘Oaky’ = -O) (TREMOLO) with a wavering type of note (TREMOLO),
26 Four (-IV-) in Cast (cast/forge = FORG-E) (FORGIVE) to go easy on (FORGIVE),
27 Bill (AD-) is at the bar (Attorney General = -AG-) before 10 (-IO) (ADAGIO) – that’s slow for a musician (ADAGIO),
28 Drink (TEA-) from Russia (RU= -R U-) initially produced (initially ‘Produced’ = -P) (TEAR UP) in Split (split = TEAR UP),
32 Rejects (= reversal indicator) some of the possibilities (some of the ‘posSIBIlities’ = sibi = IBIS) for flighty type (IBIS),
33 Cautions against content (‘cautionS AGAinst’ content = SAGA) of Norse legend (SAGA).