Across:
1 Expose (DETECT) what bent coppers won’t do (DETECT),
4 Miraculously removes oily (‘miraculously’ removes ‘oily’ = mracuusl = MUSCULAR) beefy type (MUSCULAR),
9 Not necessary to have (LUXURY) milk and honey (LUXURY),
10 People tend to open up for them (DENTISTS), as they are capable of building bridges (DENTISTS),
12 Dispelled someone’s fear about (CONVINCED) rip-off (CON-) French wine (French ‘wine’ = -VIN-) served up (= reversal indicator) last month (Dec = -CED) (CONVINCED),
13 Carries (lugs = LU-GS) around bearing (bearing north = -N-) (LUNGS) for a number of breathing apparatuses (LUNGS),
14 Contests (COMPETITIONS) firm (CO-) is getting 1000 (-M-) written protests with signatures (-PETITIONS) (COMPETITIONS),
18 Loyal members (CONGREGATION) of The Mob (CONGREGATION),
21 Run out (LAPSE) of large (L-) part of the church (-APSE) (LAPSE),
22 Work out (CALCULATE) rulings from integral calculus (‘rulings’ from ‘integral calculus’ = tealcalcu = CALCULATE),
24 Drunk (= anagram indicator) very sour (very sour = SURVEYOR) type on site for good measure perhaps (SURVEYOR),
25 Is this the rank (RANCID) that managed (RAN-) the police department? (-CID) (RANCID),
26 Statue (statue = ASTUTE-) built (= anagram indicator) by port (port/left = -L-) yard (-Y) (ASTUTELY) in an insightful manner (ASTUTELY),
27 Made fun of (TEASED) sedate (sedate = TEASED) criminal (= anagram indicator).
Down:
1 Sensitivity (DELICACY) to gourmet food? (DELICACY),
2 Classification (TAXONOMY) of duty (TAX-) on (-ON-) order (-O-) for medium- (-M-) -to-top- yacht (top ‘yacht’ = -Y) (TAXONOMY),
3 British surprise (Cor! = COR-) soldier (-GI) (CORGI) in Welsh cardigan (Welsh cardigan CORGI dog),
5 Employ (USE) counsel (ADVISE-) from Donegal (-DL-) with the last of the money? (last of the ‘money’ = -Y) (USE ADVISEDLY) Don’t spend it all in the one shop! (USE ADVISEDLY),
6 Persian (CAT-) is briefly (e) isolated (‘alone’ without ‘e’ = -ALON-) on one (-I-) summit on archipelago (summit on ‘archipelago’ = -A) (CATALONIA) in Spain (CATALONIA),
7 Take cab from log cabins (take ‘cab’ from ‘log cabins’ = logins = LOSING) giving someone the slip (LOSING),
8 Refuse to give in to (RESIST) bank’s research scientist (bank’s ‘research scientist’ = RESIST),
11 Playing the part of the truant, for instance (ACTING), from educational institute (SCHOOL) (ACTING SCHOOL) where one learns how to perform like the fool (ACTING SCHOOL),
15 Heartless (a) OAP (OAP’ without ‘a’ = -OP-) consumed by constituent (element = EL-EMENT) (ELOPEMENT) running away for the match (ELOPEMENT),
16 Men preparing to join Union (fiancés = FI-ANCES) in possession of new (-N-) (FINANCES) funds (FINANCES),
17 The latest trend (fashionable = IN-) – brief (r) romantic (‘tender’ without ‘r’ = -TENDE-) date (-D) (INTENDED) with fiancée (INTENDED),
19 Short (y) drama (‘play’ without ‘y’ = PLA-) from uplifting (= reversal indicator) manuscript (MS = -SM-) initially adapted (initially ‘adapted’ = -A) (PLASMA) for television (PLASMA),
20 The Verve (verve/zest = SPIRIT) produced by one of The Shadows? (SPIRIT),
23 Neighbours (UK-) lose the head (c) with lawsuit (‘case’ without ‘c’ = -ASE) (UKASE) as it’s an arbitrary command (UKASE).