Across:
1 Deirdre (DEE-) got this from bar (-P IN T-) and it went to her head (‘her’ head = -H-) – one is advised (-OUGHT) (DEEP IN THOUGHT) to think about that a lot (DEEP IN THOUGHT),
10 Flexible type (ELASTIC) from A-list (alist = -LASTI-) working (= anagram indicator) in Clare (CE) bends over backwards (= reversal indicator) (CE = E-C) (ELASTIC),
11 Tear the (tear the = THEATRE) dress (= anagram indicator) in the gate (The Gate THEATRE),
12 Characters raised (= reversal indicator) in California put out (characters raised in ‘California put-out’ = niap = PAIN) by nuisance (PAIN),
13 Corporate division (SALES) produces endless (end ‘less’ = S-) amount of drinks (-ALES) (SALES),
15 Breakdown (WEEP) of cover for Zimbabwe epidemic (cover for ‘Zimbabwe epidemic’ = WEEP),
17 Bar (ROD) staff? (ROD),
19 At the heart of the storm (EYE-) in (-IN-) Government (-G) (EYEING) with watching brief (EYEING),
21 Throw (throw = WORTH-) out (= anagram indicator) on Fourth of July (fourth of ‘July’ = -Y) (WORTHY) – is that creditable? (WORTHY),
22 Old Germanic race (Jute = JU-TE-) took over most of (t) mine (‘pit’ without ‘t’ = -PI-) at end of war (end of ‘war’ = -R) (JUPITER), by Jove! (JUPITER),
23 What major employer might do (major employer / army might DEPLOY) with a couple of notes (music notes D+E = DE-) on clever scheme (-PLOY) (DEPLOY),
25 Express disapproval (boo = B-OO) over a (-A-) doctor (-MB-) (BAMBOO) offering grass (BAMBOO),
27 Withdraw a regiment immersed (‘withdraw a regiment’ immersed = WAR) in a series of battles (WAR),
29 Assessment (VIEW) of show involving Stevie Wonder (show involving ‘Stevie Wonder’ = VIEW),
30 The benefit (VALUE) of Dell (dell/hollow = VAL-E) embracing university (-U-) (VALUE),
31 Nietzsche releases sheet (‘Nietzsche’ releases ‘sheet’ = nizc = ZINC) with galvanising material (ZINC),
34 Got to (REACHED) hate leaving head teacher (‘hate’ leaving ‘head teacher’ = edacher = REACHED),
35 One of those in the plot (sage = SA-GE) takes in America (-USA-) (SAUSAGE) by banger (SAUSAGE),
36 Someone will have to use this to relax (DEEP BREATHING), as sage like (sage-like = DEEP) Shatter (break) isn’t finished (k) (‘break’ without ‘k’ = BREA-) with whatchamacallit (-THING) (DEEP BREATHING).
Down:
2 Test (EXAMINE) probe? (EXAMINE),
3 Shame (PITY) one of The Stones (PIT-) joining Yes (-Y) (PITY),
4 Reconnect a refrigerator inside (‘reconnect a refrigerator inside = NECTAR) for the honey producers to collect (NECTAR),
5 Bad blood (HATRED) between Meg Thatcher (between ‘Meg Thatcher’ = HAT-) and the revolutionary (-RED) (HATRED),
6 Bruised rib removed (‘bruised’ ‘rib’ removed = used = USED) – was it previously owned by someone else? (USED),
7 The most popular (HOTTEST) stolen goods (HOT-) given to judge (-TEST) (HOTTEST),
8 They’re under a lot of pressure (DEEP-SEA DIVERS) looking for the oceanliner? (DEEP-SEA DIVERS),
9 Badly hurt (DEEPLY hurt), the sense (TOUCH-) is writer (-ED) (DEEPLY TOUCHED) is emotionally affected (DEEPLY TOUCHED),
14 Go ballistic without the bits (‘go ballistic’ without the ‘bits’ = goallic = LOGICAL) of sound (LOGICAL),
16 Relish (ENJOY) for starter of lobster (hen lobster) is missing (h) (‘hen’ without ‘h’ = EN-) – where’s the gratification in that? (-JOY) (ENJOY),
18 Course starting (‘course’ starting = C-) with exam (-ORAL exam) (CORAL) referring to what’s on reef (CORAL),
20 Curmudgeonly dumped lemon curd (‘curmudgeonly’ dumped ‘lemon curd’ = ugy = GUY) produced by one of gal’s partners? (‘guys and gals’ + one partner = GUY),
21 Some Felixstowe beach (some ‘Felixstowe beach’ = WEB) synonymous with surfing (WEB),
24 Sporting (= anagram indicator) paper (paper = PREPA-) is half read (half ‘read’ = -RE) (PREPARE) by coach (PREPARE),
26 Genius (brain = BR-AIN) admits it (-IT-) (BRITAIN) is what our neighbours are expected to live on (BRITAIN),
27 Ramble (WANDER) by Magician’s Bar (WAND-) with Erris Head (‘Erris’ Head = -E-) on right (-R) (WANDER),
28 Begins to leave agribusiness (‘begins’ to leave ‘agribusiness’ = arusis = RUSSIA) in Eastern Europe (RUSSIA),
32 Outlet (SHOP) for posh (posh = SHOP) model (= anagram indicator),
33 Neighbours dismiss region (‘neighbours’ dismiss ‘region’ = hbus = BUSH) in the Australian outback (BUSH).