Across:
1 A (A-) terrible start (terrible ‘start’ = -T) for lumberjack (LOGGER-) going nuts locally (‘nuts’ locally = HEADS) (AT LOGGERHEADS) in violent dispute (AT LOGGERHEADS),
10 Capote’s (Capote’s = TOECAPS) novel (= anagram indicator) recommended on all sites, to boot (TOECAPS on building sites),
11 Spilt (= anagram indicator) porter (porter = P-ERROT) over one (-I-) (PIERROT) clown (PIERROT),
12 Some in The Inferno terrorised (some in ‘The Inferno terrorised’ = NOTE) by aide-memoire (NOTE),
13 Sounds almost like (= almost homophone indicator) it could be of interest to someone on a diet (“low cal” = “lo cal” = LOCAL) in the neighbourhood (LOCAL),
15 Country (MALI) goon from Mongolia (‘goon’ from ‘Mongolia’ = mlia = MALI),
17 Part of the stock (SOW) belonging to business owner (belonging to ‘business owner’ = SOW),
19 Irritated (SOR-E) over running start (‘running’ start = -R-) by novice (learner = -L) (SORREL) – it’s the nag’s tone! (SORREL horse + colour),
21 Prickly sort (CACTUS) of college (C-) plays a part (acts = -ACT-S) covering start of the uncertainty (start of the ‘uncertainty’ = -U-) (CACTUS),
22 New Yorker carrying bags (BELLHOP) on his bike (BELL-) going to the dance (-HOP) (BELLHOP),
23 Turn upside down (INVERT), as a lot missing from ventilator (‘a lot’ missing from ‘ventilator’ = ventir = INVERT),
25 Women’s association (Women’s Institute = WI-) in Waterford (-RING) (WIRING) on the line to The Telegraph (WIRING),
27 God-awful (BAD) characters in the suburb admonished (characters in the ‘suburb admonished’ = BAD),
29 Ceramist removes item (‘ceramist’ removes ‘item’ = cras = SCAR) with blemish (SCAR),
30 Egyptians ignore tiny (‘Egyptians’ ignore ‘tiny’ = egpas = PAGES) book collections (PAGES),
31 Some standard I value (some ‘standard I value’ = DIVA) from opera (DIVA),
34 Take care of (NOURISH) flip (= reversal indicator) switch (on = NO-) – it’s for upstart (‘up’ start = -U-) skimming (i) us locals (‘Irish’ without ‘i’ = -RISH) (NOURISH),
35 Flexible type (ELASTIC) from A-list (alist = -LASTI-) working (= anagram indicator) in Clare (CE = E-C) bends over backwards (= reversal indicator) (ELASTIC),
36 Little warning of (AT SHORT NOTICE) a (A-) neat final (‘neat’ final = -T) glass of whiskey (SHORT) that’s not (NOT-) coming with ice (-ICE) (AT SHORT NOTICE).
Down:
2 Possible troll (possible internet troll / TWEETER) with loudspeaker (TWEETER loudspeaker),
3 Pops off proposal (‘pops’ off ‘proposal’ = roal = ORAL), in a manner of speaking (ORAL),
4 Soldiers (GIs = GIS-) with nearly (t) the lion’s share (‘most’ without ‘t’ = -MOS) (GISMOS) of gadgets (GISMOS),
5 Cutting edge type (RIPSAW) of research at top (‘research’ at top = R-) unit (I-) raising (= reversal indicator) one of the insects (wasp = -PSAW) (RIPSAW),
6 Drain (sewer) head off (s) (sewer’ without ‘s’ = EWER) jug of beer perhaps (EWER)
7 Upset (= reversal indicator) staff (rod = DOR-) worker (-MAN-) with temperature (-T) (DORMANT) is sleeping (DORMANT),
8 Deals with guilt (atones = AT ONE’S) going to comic’s funeral (comic’s funeral = WITS’ END) (AT ONE’S WITS’ END) completely mystified (AT ONE’S WITS’ END),
9 To the casual observer (AT FIRST GLANCE) in attendance (AT), getting award from university (FIRST) is good (G-) for Spike (-LANCE) (AT FIRST GLANCE),
14 Describes designer luggage (COOL BAG) for fan (COOL) to pick up (BAG) (COOL BAG),
16 A beasty type (ZEBRA) of zone (Z-) with wild (= anagram indicator) bear (bear = -EBRA) (ZEBRA),
18 Swift (swift = RAPID) introduction to prose (introduction to ‘prose’ = -P-) in The Blitz (RA-ID) (RAPID),
20 Give the go-ahead (LET) in irresponsible therapy (in ‘irresponsible therapy’ = LET),
21 Melody from low comedy (‘melody’ from ‘low comedy’ = wco = COW) produced by bully (COW),
24 Six (VI-) leading actors (leading ‘actors’ = -A-) from The Tube (tube/channel = -DUCT) (VIADUCT) produced The Bridge (VIADUCT),
26 One (I-) institute (Dublin Institute of Technology = -DI-T-) around Oxford (-O-) opens in Cambridge (opens ‘in Cambridge’ = -IC) (IDIOTIC) – it’s ill-advised (IDIOTIC),
27 Turns up (= reversal indicator), tenor (-T-) in rehab (rehab = BA-HER) (BATHER) is a patron of Spa (BATHER),
28 Madeleine dismisses lie (‘Madeleine’ dismisses ‘lie’ = madene = DEMEAN) as put down (DEMEAN),
32 Part of the neighbourhood is horrified (part of the ‘neighbourhood is horrified’ = DISH) by the satellite receiver (DISH),
33 The preserve (SALT) of old sea dog (old sea dog/sailor = SALT).