Across:
1 Utterly finished (DEAD AS THE DODO) and not working (DEAD)? Make (= anagram indicator) haste (haste = AS THE) – join one party after another! (do + do = DODO) (DEAD AS THE DODO),
10 Serious type (EARNEST) enters a (enters a) rave (= anagram indicator) (enters a = EARNEST),
11 Bring to a standstill (CRIPPLE) with the first Champagne (first ‘Champagne’ = C-) flavoured ice cream (-RIPPLE) (CRIPPLE),
12 The facts and figures (DATA) – a (-A) tad (tad) upsetting (= reverse indicator) (tad = DAT-) (DATA),
13 Offer a counter argument (REBUT) backing (= reversal indicator) Spud (spud = tuber = REBUT),
15 Absolutely exhausted on their feet (DEAD on feet) starting on all sides today (DEAD on all sides of today’s grid),
17 A gent (‘a gent’ = ‘agent’ = REP) raised (= reverse indicator) among Nez Percé? (among ‘nez PERcé’ = per = REP),
19 Guard (ESCORT) in operative’s Cortina (in ‘operativES CORTina’ = ESCORT).
21 Segment of enclave neglected (segment of ‘enclAVE NEGlected’ = aveneg) back (= reverse indicator) (aveneg = GENEVA) in Switzerland (GENEVA),
22 Brief (d) attempt (bid) (‘bid’ without ‘d’ = BI-) to introduce oil (introduce ‘Oil’ = -O) for petrol (-FUEL) (BIOFUEL) as a green energy (BIOFUEL),
23 Most of The Wire (‘tap’ without ‘p’= TA-) like (like) new (= anagram indicator) (like = -LKIE) (TALKIE) and old film, not the silent type (TALKIE),
25 Appreciating (LOVING) travel account (log = LO-G), which includes French wine (French ‘wine’ = -VIN-) (LOVING),
27 Segment of schoolteachers (segment of ‘schoolTEAchers’ = TEA) make a meal of it (TEA),
29 Club (golf club = IRON) set up (= reverse indicator) within the confines of Pasamano River (within the confines of ‘pasamaNO RIver’ = nori = IRON),
30 How is it great (G-) at dance party (-RAVE) (GRAVE) to be sober? (GRAVE),
31 In a series, the second (BETA) part of elevated (= reverse indicator) Golden Gate Bridge (part of ‘golden gATE Bridge’ = ateb = BETA),
34 Pilot (pilot = T-IPOL-) flying over centre of Nairobi (centre of ‘naiRobi’ = -R-) – one (-I) TRIPOLI) African capital (TRIPOLI),
35 Strong praise (IDOLISE) for what’s rock (= anagram indicator) solid (solid = -DOLIS-) in Ireland (Ireland domain = .ie = I-E) (IDOLISE),
36 The Brogans of late (brogans = stout leather shoes / DEAD MAN’S SHOES) – a lifeless, pair of loafers? (DEAD MAN’S SHOES).
Down:
2 Racier (racier) novel (= anagram indicator) (racier = ERRA-IC) set around time (-T-) (ERRATIC) that is unpredictable (ERRATIC),
3 Buck (DEER) found in Rush (reed) is retiring (= reverse indicator) (reed = DEER),
4 I, for one (Crosaire SETTER), messed up (= anagram indicator) retest (retest = SETTER),
5 Caught (-C-) copper (-CU-) splitting joint (hip joint = HI-P) (HICCUP) – it’s a minor setback (HICCUP),
6 Place of honour perhaps (DAIS) for cut (y) flower (‘daisy’ without ‘y’ = DAIS),
7 Take out (take out/delete = DE-LETE) around park (-P-) (DEPLETE) to slim down (DEPLETE),
8 You’re going to be born and you’re going to die (DEAD CERTAINTY) – that’s for sure! (DEAD CERTAINTY),
9 Characters in The Prague Cemetery, for example (DEAD), with Czech and French (LANGUAGES) (DEAD LANGUAGES) and those types who are no longer vocal (DEAD LANGUAGES),
14 Criticism (BEEF) linked to Trim (m) players (team) (‘team’ without ‘m’ = TEA) (BEEF TEA) offering drink for medicinal purposes (BEEF TEA),
16 Ball (ORB-) is in your court doing the rounds (‘Is in your courT’ doing the rounds = -IT) (ORBIT) in sphere of influence (ORBIT),
18 Criminal (FELON) aims to leave Isle of Man (‘aims’ to leave ‘Isle of Man’ = leofn = FELON),
20 One of The Windsors (Windsor TIE) raised (= reverse indicator) in Leitrim? (in ‘lEITriml = eit = TIE),
21 Set (GEL) produced by some lounge lizard (some ‘lounGE Lizard’ = GEL),
24 Show the love (LIONISE) for vet from television (‘vet’ from ‘television’ = elision = LIONISE),
26 List (ITEMISE) that is (i.e. = I-E) covering strange (= anagram indicator) items (items = -TEMIS-) (ITEMISE),
27 Middle Eastern (middle ‘easTern’ = T-) Republic (Republic of Ireland = -ROI-) gets kick-start (‘Kick’ start = -K-) from a (-A) (TROIKA) group of financiers (TROIKA),
28 Takes advantage of (AVAILS) from offer to get out of love affairs (‘offer’ to get out of ‘love affairs’ = lvaais = AVAILS),
32 Brave type (BOLD) on both sides of Bosworth Field (on both sides of ‘BOsworth fieLD’ = BOLD),
33 Gooseberry bush around the borders? (‘GOoseberry buSH’ around the borders = GOSH) No kidding! (GOSH).