Across:
1 Pulled the plug on the Grand Prix in Monaco (CLOSED CIRCUIT), as the TV company is using it (CLOSED-CIRCUIT television),
10 Placed a bet, for example (LAID a bet), on Down (LOW) (LAID LOW) and got buried (LAID LOW),
11 CV (C- -V-) in a real (a real) mess (= anagram indicator) (a real = -ARA-EL) (CARAVEL) for one working overseas in the past (old sailing ship CARAVEL),
12 Bar (SHUT) that’s similar to 13 across (SHUT similar to ‘close’),
13 All sides today (CLOSE on all sides of today’s grid) in Cork (cork/seal = CLOSE),
15 Helps out (AIDS) hero from Rhodesia (‘hero’ from ‘Rhodesia’ = dsia = AIDS),
17 Outrage (IRE) concealed content? Fair enough! (concealed content ‘faIR Enough’ = IRE),
19 Wild cat (OCELOT) strike at foundation (‘strikE’ at foundation = -E-) after (= position indicator) firm (Co) puts up (= reverse indicator) (Co = OC-) unit for auction (-LOT), (OCELOT),
21 Feel animosity (DETEST) to writer (ed) over (= reverse indicator) (ed = DE-) trial (-TEST) (DETEST),
22 Watch face (DIGITAL) of soldier (soldier = -GI-) taking first title (first ‘Title’ = -T-) in ring (ring/dial = DI-AL) (DIGITAL),
23 Ruffle someone’s feathers (ENRAGE) with a Green (a green) remedy (= anagram indicator) (a green = ENRAGE),
25 Unfinished (i) drink (‘martini’ without ‘i’ = MARTIN) to swallow? (a bird from the swallow family = MARTIN),
27 Local American address (MAC) in Oklahoma City (in ‘oklahoMA City’ = MAC),
29 Bit of pocket change (bit of ‘pockET CHange’ = ETCH) to burn one’s way through? (burn one’s way through = ETCH),
30 Ponies from Minneapolis (‘ponies’ from ‘Minneapolis’ = mnali = MILAN) found in Italy (MILAN),
31 In secret, cook up (PLOT) with heat from hot plate (‘heat’ from ‘hot plate’ = otpl = PLOT),
34 Hold spellbound (ENTHRAL) setting up (= reversal indicator) hotel (-H-) on square (-T- square) in Ulster port (Larne = EN-RAL) (ENTHRAL),
35 Hothead (‘Hot’ head = H-) from Verona (Verona = -ANOVER) playing (= anagram indicator) (HANOVER) in Germany (HANOVER),
36 Clive (Clive = CL- - IVE) admits wild (= anagram indicator) rose (rose = -OSE R-) from The Secret Garden, for instance (tale), raised (= reverse indicator) (tale = -ELAT-) (CLOSE RELATIVE) by his twin (CLOSE RELATIVE).
Down:
2 Garland (LEI-) is confident (-SURE) (LEISURE) of fun and games (LEISURE),
3 Old Bob (S-) is not doing well (-ILL) (SILL) under Casement (under Casement window = SILL),
4 Looking back (= reverse indicator), one (-I) law (law = -WAL-) for the papers (ID = DI-) (DIWALI) celebrated in India (DIWALI festival),
5 Incas (Incas = INCAS-) came together at the start of epidemic, (start of ‘Epidemic’ = -E) (IN CASE) as a precaution (as a precaution = IN CASE),
6 In the bottleneck (CORK) in the port (CORK),
7 It’s included in the statement (INVOICE) from one (I-) new (-N-) state (-VOICE) (INVOICE),
8 To drop (drop/lose = -LOSE) what’s in ice cream holders (cones = C- ONES) – the viewers (EYES) (CLOSE ONE’S EYES) can’t bear to look (CLOSE ONE’S EYES),
9 Presumably, the view of The Greens (CLOSE TO NATURE) is the position of the farming community (CLOSE TO NATURE),
14 It relates to an overview of The Sun (it relates to an overview of the sun = ORBITAL) and the path taken in a roundabout way (ORBITAL),
16 Old stager removes rats (‘old stager’ removes ‘rats’ = oldge = LODGE) from gatehouse (LODGE),
18 Sleepyhead doesn’t count sheep (‘sleepyhead’ doesn’t count ‘sheep’ = lyead = DELAY) by stone wall? (stonewall/obstruct = DELAY),
20 Draw (TIE) -in frontiersmen? (in ‘fronTIErsmen’ = TIE),
21 Barrier (DAM) to picking up (= reverse indicator) what’s in Panama disease (what’s in ‘panaMA Disease’ = mad = DAM),
24 Stage performance (RECITAL) of funny (= anagram indicator) article (article = RECITAL),
26 Small set (small television set = TV = T- -V) covering Roman farewell (Roman/ Latin farewell = vale = -EL AV-) and unit (-I-) retreating (= reverse indicator) (TEL AVIV) from city in Israel (TEL AVIV),
27 Top designer (milliner) gets rid of popular (in) (milliner’ without ‘in’ = MILLER) type whose job is a grind (MILLER),
28 Carry’s partner (CASH- and carry) from the foreign (the = -EL) (CASHEL) town on rocky site (CASHEL / Rock of Cashel),
32 At the beginning and the end of Arabian Nights (at the beginning and the end of ‘ARabian NighTS’ = ARTS) to a degree (ARTS degree),
33 Some foreign attachment (some ‘foreiGN ATtachment’ = GNAT) to pesky insect (GNAT).