Across:
1 Surprise (CATCH OFF GUARD) to come down with something one of the Boys in Blue has (come down with something/sickness one of the ‘Boys in Blue’/police has = CATCH OFF GUARD),
10 Metal in (metal in = AILMENT) make-up (= anagram indicator) leads to complaint (AILMENT),
11 The company (MILITIA) providing work for 22 across (MILITIA providing work for ‘marshal’),
12 Confining the movement of the bullish types (CAGE) in public agencies (in ‘public agencies’ = CAGE),
13 June is not into blue jeans (‘June’ is not into ‘blue jeans’ = bleas = SABLE) with expensive fur (SABLE),
15 Locked up in Alcatraz in California (locked up in ‘Alcatraz in California’ = ZINC) for galvanising material (ZINC),
17 Sarcastic (WRY) participants outgrow Ryder Cup (participants ‘outgrow Ryder Cups’ = WRY),
19 Representative (ICONIC) of all the centres of Official Unionist cynicism (all the centres of ‘Official Unionist cynicism’ = ic+on+ic = ICONIC),
21 Don’t panic (BE CALM) – it’s one of the problems trying to move the boat (no wind = BECALM),
22 Guide (MARSHAL) set off (= anagram indicator) alarms (alarms = MARS-AL) around hotel (-H-) (MARSHAL),
23 Stepmother lets off shot (‘stepmother’ lets off/without ‘shot’ = tepmer = TEMPER) in fit of rage (TEMPER),
25 Fair prize (fair prize = RIBBON) for absorbing the release of gas (‘absorbing’ without ‘gas’ = borbin = RIBBON),
27 The princess is sensitive to one of these (Hans Christian Andersen’s “The Princess and the PEA”) characters in Shakespeare (characters in ‘Shakespeare’ = PEA),
29 Releases Aerosmith sample (‘releases Aerosmith’ = esae) backtrack (= reversal indicator) (esae = EASE) of The Life of Riley (life of EASE),
30 You’ll get this with a free meal (a CATCH with a free meal) and the starters? On all the sides today! (CATCH on all sides of today’s grid),
31 Best leaving the base rate (‘best’ leaving the ‘base rate’ = arae = AREA) for the mathematician to get the measure of it (AREA),
34 New (= anagram indicator) chair (chair = CHARI-) for head of theology (head of ‘theology’ = -T-) at foundation to study (foundation to ‘study’ = -Y) (CHARITY) philanthropy (CHARITY),
35 Pray (IMPLORE) in one (I-) place (-PL-) in Rome (Rome = -M-ORE) compound (= anagram indicator) (IMPLORE),
36 Getting the bug (CATCHING A COLD) developing what’s in 10 across, for instance (developing what’s in ‘aliment’ = CATCHING A COLD).
Down:
2 Legal or (legal or = ALLEGRO) dodgy (= anagram indicator) piece of lively music? (ALLEGRO),
3 Meditate over (CHEW over) fragment of Nietzsche wisdom (fragment of ‘Nietzsche wisdom’ = CHEW),
4 Expose (OUT-) legislative (-LAW) (OUTLAW) type of ban (OUTLAW),
5 Fly (F-LY) over nice friend (Nice/French ‘friend’ = -AMI-) (FAMILY) from Dynasty (FAMILY),
6 Remove sloe from Yule logs (remove ‘sloe’ from ‘yule logs’ = yulg = UGLY) – it’s not nice (UGLY),
7 Drunk (= anagram indicator) in tears (in tears = RETSINA) – it’s the wine (RETSINA),
8 Presumably, the trapeze artist would hope this is part of the show to grab (CATCH IN THE ACT) nail with hand in the till? (CATCH IN THE ACT),
9 An allotted space (CATCHMENT AREA) coming off the boat (CATCH-) for workers (-MEN-) with car (model -T) meeting 31 across (‘area’ = AREA) (CATCHMENT AREA),
14 Investor’s concern (-RISK-) in wager (B-ET) (BRISKET) leads to a cut in the stock (BRISKET is a cut of meat),
16 Pay (pay = remit) back (= reversal indicator) (remit = TIMER) by track official (TIMER),
18 The Inferno (hell) briefly (l) (‘hell’ without ‘l’ = HEL-) has nine (-IX) (HELIX) in a circle that winds around and around (HELIX),
20 Vehicle (CAR) includes spectacular actress (includes ‘spectacular actress’ = rac) making a comeback (= reversal indicator) (rac = CAR),
21 Ban (BAR) includes turning back (= reversal indicator) undesirables (‘undesirables’ = rab = BAR),
24 Make up (MASCARA) screen (mask) mostly (k) (‘mask’ without ‘k’ = MAS-) for friend in Galway (Irish ‘friend’ = -CARA) (MASCARA),
26 Public house (BAR-) at this moment (now = -N OW-) has port (port = left = -L) (BARN OWL) for a nocturnal bird (BARN OWL),
27 Detective (P-I) admits pay- (pay = -APY-) -off (= anagram indicator) is for writing (from the 3Rs = -R-) (PAPYRI) old scrolls (PAPYRI),
28 Putting on a brave face perhaps (ACTING) making up charades (ACTING),
32 Some command is countermanded (some “command is countermanded” = DISC) by Ring (DISC),
33 Large scale (EPIC) concealment of vine pickings (concealment of ‘vine pickings’ = EPIC).