Across:
1 The star (The Star NEWSPAPER) employed in the snooker hall (RACK) (NEWSPAPER RACK) is predisposed to not losing the rag perhaps (NEWSPAPER RACK),
10 University (-U-) in dodgy (= anagram indicator) area is (area is = E-RASIA) (EURASIA) offering a multitude of places all the way to China (EURASIA),
11 The price of confession (PENANCE) produced by coppers (pence = PEN-CE) arresting fellow (man) blowing his top (m) (‘man’ without ‘m’ = -AN-) (PENANCE),
12 Look out for (SEEK) follower of Punjabi guru (Sikh) speaking (= homophone indicator) (‘Sikh’ = ‘SEEK’),
13 Sixth (VI-) and seventh editors’ (seventh letter of ‘editorS’ = -S-) old (-O-) writing (one of the 3Rs = -R) (VISOR) puts The Sun in the shade (VISOR),
15 Starting for all sides today (NEWS starts on all sides of today’s grid) or that’s what’s been said reportedly (NEWS),
17 Auden left unsteady (‘Auden’ left ‘unsteady’ = sty = STY), messy place (STY),
19 Open letter dismisses plot (‘open letter’ dismisses ‘plot’ = eneter = ENTRÉE), of course (ENTRÉE).
21 Serves up (= reverse indicator) fish (hake) without head (h) (‘hake’ without ‘h’ = ake = -EKA) from Russia (Ru = -UR-) and the point (East = E-) (EUREKA)? I found it! (EUREKA),
22 Official restriction on trade (EMBARGO) of wild (= anagram indicator) borage (borage = E-BARGO) around beginning of May (beginning of ‘May’ = -M-) (EMBARGO)
23 Familiar feeling (DÉJÀ VU) reflecting (= reverse indicator) light (UV light = VU) on Anthony Joseph (AJ = -JA) Ward? (Emergency Department = ED = DE-) (DÉJÀ VU),
25 Development (GROWTH) of great (G-) argument (-ROW-) with the (the) brief (e) (‘the’ without ‘e’ = -TH) (GROWTH),
27 Record (record/listen in = BUG) – the type that will make you sick (BUG),
29 State (IOWA) of Native American tribe (Kiowa) lacking a leader (k) (‘kiowa’ without ‘k’ = IOWA),
30 Spice (SUMAC) found on summits of unusual mountains all (on summits of ‘Unusual Mountains All’ = -UMA-) in South Carolina (South Carolina = SC = S-C) (SUMAC),
31 Close to (NEAR) some characters in Byzantine aristocracy (some characters in ‘byzantiNE ARistocracy’ = NEAR),
34 No VAT on videotapes (no ‘VAT’ on ‘videotapes’ = ideopes = EPISODE) produced as part of a set (EPISODE),
35 School (-S-) university (University of Limerick = -UL-) institute (-I-) overlooked by bar (inn = IN-N) (INSULIN) coming from the Islets of Langerhans (islets of langerhans are regions of the pancreas secreting INSULIN),
36 Shout (shout) out (= anagram indicator) (shout = SOUTH) to women (W-) on the beer (-ALE-) in press release (news = NEW -S) (NEW SOUTH WALES) produced by Australian state (NEW SOUTH WALES).
Down:
2 Serious type (EARNEST) enters a (enters a) rave (= anagram indicator) (enters a = EARNEST),
3 Belt (SASH) from sister primarily (‘Sister’ primarily = S-) associated with Cinders (-ASH) (SASH),
4 Defence, historically (ABATIS) for all leading (‘All’ leading/first letter = A-) clubs (bats = -BAT-S) around island (-I-) (ABATIS),
5 Put to work (EMPLOY) by some representative, MP, loyalist (some ‘representativE MP LOYalist’ = EMPLOY),
6 Sound off (RANT) Lesser Antilles in part (‘lesseR ANTilles’ in part = RANT),
7 Lose rag in governance (lose ‘rag’ in ‘governance’ = ovennce = CONVENE) of get-together? (get together = CONVENE),
8 Modern (NEW-) lean-to (shed = -S HE-D-) covering area (-A-) associated with bars (-LINES) (NEWS HEADLINES) – the most recent highlighted by the media (NEWS HEADLINES),
9 Going on to Twitter (NEWSGATHERING) for the latest information (NEWS-) on theatre (Gate Theatre = GAT-E-) welcoming hot (-H-) band (-RING) (NEWSGATHERING),
14 Layer (STRATUM) of fruit desserts (tarts) served up (= reverse indicator) (tarts = STRAT-) without a starter (y) – yum (yum) (‘yum’ without ‘y’ = -UM)! (STRATUM),
16 Try someone’s patience (PEEVE) getting card from Cape Verde (‘card’ from ‘Cape Verde’ = pevee = PEEVE),
18 Squadron refuse to take sad (‘squadron’ refuse to take ‘sad’/without ‘sad’ = quron = QUORN) meat substitute (QUORN),
20 Sample of House Music (sample of ‘housE MUsic’ = EMU) produced by fast-moving Australian bird (EMU),
21 George Roe is going out (‘George’ ‘Roe’ is going out/without ‘Roe’ = gge = EGG) with one of those in Mayo (EGG is in mayo/mayonnaise),
24 Part of the silhouette (JAWLINE) of one of The Mandibles (JAW-) taking position (taking position /taking = -LINE) (JAWLINE),
26 Work (W-) with one on foot (-HEEL-) going to Ireland (Ireland domain = .ie = -IE) (WHEELIE) for a bike stunt (WHEELIE),
27 Old city (-UR-) in Belgium (BE = B-E-) with gold (-AU) (BUREAU) agency (BUREAU),
28 Loud (GARISH), short (g) joke (gag) (‘GAg’ without ‘g’ = GA-) with Kerry men as an example (Irish) first off (i) (‘Irish’ without ‘i’ = -RISH) (GARISH),
32 Edges of Toby jugs (edges of ‘TOby juGS’ = TOGS) or thermal resistance units (TOGS),
33 Revolutionary (= reverse indicator) leaders on an island synonymous (leaders on ‘An Island Synonymous’ = ais = -SIA) with a (A-) (ASIA) large land mass (ASIA).