Across:
1 Might it be PC (WORD PROCESSOR to fall out (row = WOR-) over (= reversal indicator) party (do = -D -O-) welcoming approach (PROCESS-) by the Right (-R) (WORD PROCESSOR),
10 Turkish (OTTOMAN) or German (OTTO-) worker (-MAN) (OTTOMAN),
11 Herb (OREGANO) Ring (O-) from Orange (orange = -REGANO) Order (= anagram indicator) (OREGANO),
12 Let go (DROP) revolutionary (= reversal indicator) jab (prod = DROP),
13 An argument (WORDS) typical of all sides today (WORDS on sides of today’s grid),
15 Ran away from Ireland (‘ran’ away from ‘Ireland’ = ield = LIED) and wasn’t honest (LIED),
17 Graduate (MA-) at the end of February (end of ‘February’ = -Y) (MAY) or late spring (MAY),
19 Expose (OUT-) legislative (-LAW) (OUTLAW) type of ban (OUTLAW),
21 Five (versus = V-) paramilitaries (-IRA-) leave (-GO) (VIRAGO) in Spitfire (spitfire/bad-tempered = VIRAGO),
22 Starter of croutons (starter of ‘croutons’ = -C-) in potato (TOP-OAT) soup (= anagram indicator) (TOPCOAT) will keep you warm in the winter (TOPCOAT),
23 It’s not obvious (HIDDEN) in research I’d denounced (in ‘research I’d denounced’ = HIDDEN),
25 Managed (ran = NAR-) back (= reversal indicator) -line (-ROW) (NARROW) in limited space (NARROW),
27 Soak up (MOP) the content of magnum opus (the content of ‘magnum opus’ = MOP),
29 Partner (WIFE) with swine fever loses nerves (‘swine fever’ loses ‘nerves’ = wife = WIFE),
30 Characters in revolutionary (= reversal indicator), ill-chosen adaptation (characters in ‘ill-chosen adaptation’ = senad = DANES) in a state with Hamlet (DANES),
31 Elects (OPTS) those at the start of 2 down (‘opts out’ = OPTS),
34 Classified stuff (SECRETS) about (-RE-) what’s in theological groups (SEC-TS) (SECRETS),
35 Report (= homophone indicator) work in a sweatshop (‘sew-and-sew’ = ‘SO-AND-SO) with vulgar type (SO-AND-SO),
36 Danger (WORD OF WARNING) of fire! (fire! = WORD OF WARNING).
Down:
2 Decides to withdraw (OPTS OUT) whistler from whistle-stop tour (‘whistler’ from ‘whistle-stop tour’ = stoptou = OPTS OUT),
3 Part of the architecture modified (part of the ‘architecture modified’ = emod) up (= reversal indicator) (emod = DOME) on top of The Rotunda (DOME).
4 A liberating demand (RANSOM) from strange (= anagram indicator) Romans (Romans = RANSOM),
5 It’s not clear (CLOUDY) cook (= anagram indicator) could (could = CLOUD-) finish pastry (finish ‘pastry’ = -Y) (CLOUDY),
6 Falls over (= reversal indicator) cats and dogs (pets = STEP) outside the front door (STEP),
7 Instrument (OCARINA) for Cain or a (Cain or a = OCARINA) criminal (= anagram indicator),
8 Shrewd tip (WORD TO THE WISE) of information (WORD) to Count (count/tot = TO T-) getting a fair amount of (half of) heat (half of ‘heat’ = -HE) from sage (WISE) (WORD TO THE WISE),
9 What the wise guys are capable of (WORDS OF WISDOM) could have come from Sibyl (WORDS OF WISDOM could have come from Sibyl / the oracle),
14 Beastly type (RACCOON) chews (= anagram indicator) acorn (acorn = RAC- ON) that’s firm (-CO-) in the middle (RACCOON),
16 Bringing up (= reversal indicator) sample of common-sense tagline (sample of ‘common-sense tagline’ = setag = GATES) for those flighty types departing (GATES),
18 Giant (TITAN) of Italian Renaissance (Titian) hasn’t got one (i) (“Titian” without “i” = TITAN),
20 Took gold (WON) in Taekwondo (in ‘Taekwondo’ = WON),
21 Vehicle (VAN) travelling up (= reversal indicator) in Bologna valley (in ‘Bologna valley’ = nav = VAN),
24 In effect, take it as a done deal (DE FACTO) with feta cod (feta cod = DE FACTO) salad (= anagram indicator),
26 Lured (ROPED IN) up (= reversal indicator) north (NI = IN) to exile (deport), for the most part(t) (‘deport’ without ‘t’ = depor = ROPED) (ROPED IN),
27 Range (MASSIF) of manifestos lacking tone (‘manifestos’ lacking ‘tone’ = maifss = MASSIF),
28 Rep is (rep is = PERSI-) travelling (= anagram indicator) from area (-A) (PERSIA) in old Asian country (PERSIA),
32 Drive (HERD) to Natal out of the heartland (‘Natal’ out of the ‘heartland’ = herd = HERD),
33 Vatican dismisses act (‘Vatican’ dismisses ‘act’ = vian= VAIN) as conceited (VAIN).