Across:
1 Major new treatments (BREAKTHROUGHS) for hernias? (BREAKTHROUGHS),
10 Criticise local (criticise ‘locally’ = RUBBISH) guesthouse (B & B = -BB-) for second time (second ‘tIme’ = -I-) in Dublin seaside town (RU-SH) (RUBBISH),
11 Carry on (PALAVER) by friend ((PAL -) from avenue (-AVE-) in the middle of Paris (in the middle of ‘paRis’ = -R) (PALAVER),
12 Similar to those in 35 across (similar to ‘alcohol’ = ALES) drunk in the public house (ALES),
13 Take five (take five = take a BREAK) from all sides today (BREAK on all sides of today’s grid),
15 Fundraiser (GALA) welcomed by special agency (welcomed by ‘speciAL AGency’ = alag) in retrospect (= reverse indicator) (alag = GALA),
17 Ore removed from rotten (‘ore’ removed from ‘rotten’ = ttn = TNT) explosives (TNT),
19 Published (ISSUED) the matter in question (the ISSUE-) linked to director (-D) (ISSUED),
21 Where you might find 22 across (WAY OUT found in ‘doorway’) is crazy (crazy = WAY-OUT),
22 Party (DO-) leaders on radio (leaders ‘On Radio’ = - WAY -) taking direction (-WAY) (DOORWAY) at opening of The House (DOORWAY),
23 Got (got) up (= reverse indicator) (got = TOG) on holiday (OUT) (TOG OUT) to prepare for a game (TOG OUT),
25 Harry (harry/irk = RANKLE) has never-ending (‘neveR’ ending = R-) joint (-ANKLE) (RANKLE),
27 Some cheapskate (some ‘cheAPSkate’ = aps) revisionism (= reverse indicator) (aps = SPA) in a place of relaxation (SPA),
29 Bottom lines (SUMS) and margins for supporting films (margins for ‘SUpporting filMS’ = SUMS),
30 Race (-TT- race) in Cobh (Cobh) sounds like (= homophone indicator) (“Cobh” = “cove” = BA-Y) (BATTY) it’s around the bend (BATTY),
31 Los Roques archipelago limits (‘LOs roques archipelaGO’ limits = LOGO) what stands for Guaranteed Irish (LOGO),
34 University (University of Limerick = -UL-) life (life) is short (e) (‘life’ without ‘e’ = -LIF-) in American state (New York = N-Y) (NULLIFY) – do away with it officially (NULLIFY),
35 Drink (ALCOHOL) produced by firm (-CO-) of hospitality leaders (‘Of Hospitality’ leaders = -HO-) consumed by everyone (all = AL-L) (ALCOHOL),
36 Scoops exclusive (BREAKS THE NEWS) as she went (she went = THE NEWS) off (= anagram indicator) (she went = THE NEWS) after (= position indicator) damages (BREAKS) (BREAKS THE NEWS).
Down:
2 Presumably, they stole the show (ROBBERS) in Butch Cassidy and the Sundance Kid (ROBBERS),
3 As keen as mustard (AVID) backing (= reverse indicator) female singer (diva = AVID),
4 Top (T-SHIRT) Rocky (= anagram indicator) hits (hits = T-SHI-) to retweet (-RT) (T-SHIRT),
5 Quote (REPEAT) from Echo? (REPEAT),
6 Amusingly has no mains (‘amusingly’ has no ‘mains’ = ugly = UGLY) and that’s not attractive (UGLY),
7 Try (HAVE A GO) to use a razor (shave) trimming top (s) (‘shave’ without ‘s’ = HAVE) in olden times (ago = A GO) (HAVE A GO),
8 Suddenly take to twittering on Raglan Road (suddenly take to twittering/singing Patrick Kavanagh’s On Raglan Road = BREAK INTO SONG) to make public (break news = BREAK) – teacher’s (Irish National Teachers’ Organisation = INTO) relative (SON-) is joining force (G force = -G) (BREAK INTO SONG),
9 Put an end to restrictive practice (BREAK THE MOULD) of holiday (BREAK) for those folks (for them = THE M-) with loud (loud) boss (= anagram indicator) (loud = -OULD) (BREAK THE MOULD),
14 Protect information (ENCRYPT) in popularity contest sacrificing autopilots (‘popularity contest’ sacrificing ‘autopilots’ = prycnte = ENCRYPT),
16 Disheartened (FED UP) by FBI agent (FBI agent/Fed = FED) at the heart of corruption (at the heart of ‘corrUPtion’ = UP) (FED UP),
18 Crafty type, whichever way you look at it (KAYAK), produces starters of kebabs and (starters of ‘Kebabs And’ = KA-) waffle (waffle/yak = -YAK) (KAYAK),
20 What’s the point (DOT) in documentary dismissing numeracy? (‘documentary’ dismissing ‘numeracy’ = dot = DOT),
21 Retain from rainwater (‘retain’ from ‘rainwater’ = awr = WAR) – it’s for a major employer to invest in? (WAR),
24 It’s good (G-) to walk (walk/amble = -AMBLE-) from the top of the racecourse (top of the racecourse = -R) (GAMBLER) with one hoping to win (GAMBLER),
26 Have no doubts (know = KNO-W) protecting medical organisation (World Health Organisation = -W-HO-) (KNOW-HOW) with expertise (KNOW-HOW),
27 Strays (strays) on the rampage (= anagram indicator) (strays = SATYRS) with goat men (mythology: goat-men = SATYRS),
28 Tie up (ATTACH) that (that) mess (= anagram indicator) (that = ATT-H) overshadowing a (-A-) college (-C-) (ATTACH),
32 Bit of improvisation (bit of ‘improVISAtion’ = VISA) required for getting into some countries (VISA),
33 Have a quick look at (SCAN) couples supporting school plan (couples supporting ‘SChool plAN’ = SCAN).