Across:
1 To boldly go too far (TAKE LIBERTIES) with what sounds like an order from a major employer (army) with sights (on gun) on Dublin suburb? (TAKE LIBERTIES),
10 Fruity type (AVOCADO) of Cava (Cava) drunk (= anagram indicator) (Cava = AV-CA-) entertaining Oscar (-O-) at party (-DO) (AVOCADO),
11 Making coffee (BARISTA) in Rabat is (Rabat is) unorthodox (= anagram indicator) (Rabat is = BARISTA),
12 Get Naomi to leave mediation (get ‘Naomi’ to leave ‘mediation’ = edti = EDIT) or change one’s story? (EDIT),
13 Viewpoints (TAKES) of society (-S) behind (= position indicator) 15 across (‘take’ = TAKE-) (TAKES),
15 Consume (TAKE) what’s popular with all sides today (TAKE on all sides of today’s grid),
17 Side (RIM) of pastrami without pasta (‘pastrami’ without ‘pasta’ = rmi = RIM),
19 Her companion (H-IS) admits a (-A-) horse (-GG-) (HAGGIS) is laid out for Ascot? (is laid out for “Ascot” / “a Scot” = HAGGIS),
21 You’d be (you’d be) wrong (= anagram indicator) (you’d be = BUOYED) to be encouraged by this (BUOYED),
22 Country (BELGIUM) bumpkin leading (‘Bumpkin’ leading = B-) soldier (-GI-) carried by pack animal (mule) returning (= reverse indicator) (mule = EL-UM) (BELGIUM),
23 Great footballer (Pele = PE-LE) rings guesthouse (B&B = -BB-) (PEBBLE) in Little Rock (PEBBLE),
25 A lead provider (lead/heavy metal ore = GALENA) to cultural association (GAA = GA-A) over a short (t) period of abstinence (‘lent’ without ‘t’ = -LEN-) (GALENA),
27 Bar (ROD) set up (= reverse indicator) in Benidorm (in ‘beniDORm’ = dor = ROD),
29 Needs no intro (p) to Free (‘purge’ without ‘p’ = URGE) Press (URGE),
30 One’s job is to stand over (REMIT) part of the oven (timer) going all the way back (= reverse indicator) (timer = REMIT),
31 Passing mention (OBIT) of what’s served up (= reverse indicator) in spaghetti Bolognese (in ‘spaghetTI BOlognese = tibo = OBIT),
34 Is it cool to leave Eton College (‘cool’ to leave ‘Eton College’ = etnlege = GENTEEL) or is that just being courteous in an exaggerated way? (GENTEEL),
35 Chicken and chips (DISH-) for the college students’ festival (-RAG as in ‘rag week’) (DISHRAG) – someone will clean up with that in New York (DISHRAG),
36 Kick up a fuss about (TAKE EXCEPTION) receipts (TAKE) from bar (EXCEPT-) popular (-I-N) around Oxford (-O-) (TAKE EXCEPTION).
Down:
2 Like some fans (ADORING) of a (A-) social gathering (-DO-) with wedding band (-RING) (ADORING),
3 Concealed by opera star (concealed by ‘opERA Star’ = ERAS) in The Times (ERAS),
4 Lads falling off sailboards (‘lads’ falling off ‘sailboards’ = siboar = ISOBAR) – it could be the pressure staying on a line (ISOBAR),
5 Representative type (EMBLEM) of lawyer (-BL-) consumed by upsetting (= reversal indicator) viral phenomenon (meme = EM-EM) (EMBLEM),
6 Mentor’s son leaves (‘mentors’ ‘son’ leaves/without ‘son’ = metr = TERM) for an academic period (TERM),
7 It’s not difficult (E-ASY) welcoming start of Coronation (start of ‘Coronation’ = C) Street (-ST-) (ECSTASY) with delight (ECSTASY),
8 What the swimmers might do (TAKE THE PLUNGE) to join The Union? (get married = TAKE THE PLUNGE),
9 Exploit (TAKE ADVANTAGE) one of those losing the head (s) at The Post (‘stake’ without ‘s’ = TAKE) on edge (edge = ADVANTAGE) (TAKE ADVANTAGE),
14 Relations (KIN-) going initially (‘Going’ initially = G) to party (-DO-) by road (-M) (KINGDOM) from Kerry (KINGDOM of Kerry),
16 Turns up (= reverse indicator), the foreign (‘the’ Spanish = el = -LE) B&B (B&B = B-B-) welcomes initial inclusion (initial ‘Inclusion’ = -I-) (BIBLE) in good books (good books = BIBLE),
18 Spice (SUMAC) found on summits of unusual mountains all (summits of ‘Unusual Mountains All’ = -UMA-) in South Carolina (South Carolina = SC = S-C) (SUMAC),
20 Identify (SEE) those turning up (= reverse indicator) in The Three Stooges (in ‘the thrEE Stooges’ = ees = SEE),
21 A small insect (BUG) in lime from Belgium (‘lime’ from ‘Belgium’ = bgu = BUG),
24 Flower (BEGONIA) bed primarily (‘Bed’ primarily = B-) in Genoa (Genoa) running wild (= anagram indicator) (Genoa = -EGON-A) around unit (unit = -I-) (BEGONIA),
26 Official restriction on trade (EMBARGO) of wild (= anagram indicator) borage (borage = E-BARGO) grown around start of May (start of ‘May’ = -M-) (EMBARGO),
27 Knee-jerk response (REFLEX) to, for example, dropping a mop (‘for example’, dropping ‘a mop’ = frexle = REFLEX),
28 Cut out, in the motoring sense (die = DI-E), outside Dublin (Dublin = -D-) going to Donegal (Donegal = -DL-) (DIDDLE) for local do (DIDDLE),
32 Characters travelling around (= reversal indicator) in double decker? (in ‘doublE DECker’ = edec = CEDE) I’ll give you that! (CEDE),
33 Ship (-SS-) in empty (or) port (‘port’ without ‘or’ = pt = P-T) (PSST) attracts attention (PSST).