Across:
1 Make a case (GIVE AN OPINION) for advocate (GIVE AN OPINION),
10 Awful (= anagram indicator) citing (citing = ITC-ING) over starting harassment (starting ‘harassment’ = -H-) (ITCHING) and getting impatient (ITCHING),
11 Whips up (= reversal indicator) bit of mayo (Mayo/Cong = GNOC-) to go with head of cavolo (head of “cavolo” = -C-) – it’s a salute (-HI) (GNOCCHI) to Italian cuisine (GNOCCHI),
12 Medallist rejects small (‘medallist’ rejects ‘small’ = edit = EDIT) job on the paper (EDIT),
13 Dummy (MODEL) found in stretch-limo delivered (part of ‘stretch-limo delivered’ = MODEL),
15 Trim (CUT-) at the end of June (end of ‘June’ = -E) (CUTE) is as pretty as a picture (CUTE),
17 Old stager misses alerts (‘old stager’ misses ‘alerts’ = odg = DOG) from a man’s best friend (DOG),
19 17 across (‘dog’ = DOG-) makes a show of leaders (‘makes a show’ of leaders = -MAS) (DOGMAS) with numerous ideologies (DOGMAS),
21 What The Police created (LINE-UP) on The Bill (on the bill/programme = LINE-UP),
22 Place to (place to = POLECAT) make up (= anagram indicator) American skunk (POLECAT),
23 Big (big = GIB-) Wheel (= reversal indicator) with short (d) fuse (‘bond’ without ‘d’= -BON) (GIBBON) produced by Diana’s relative? (Diana monkey/relative of GIBBON),
25 Trouble (WAR-) about (-RE-) first novel (first “novel” = -N) (WARREN) set in The Maze (maze = WARREN),
27 Some characters overwhelm a referee (some characters ‘overwhelm a referee’ = mar) going over (= reversal indicator) (mar = RAM) to sheepish type (RAM),
29 Part of the skeleton (BONE) found at the end of 8 down (end of ‘give a dog a bone’ = BONE),
30 Sleepyhead doesn’t count sheep (‘sleepyhead’ doesn’t count ‘sheep’ = leyad = DELAY) by stone wall? (stonewall/obstruct = DELAY),
31 Intros to One Week Last Summer (intros to ‘One Week Last Summer’ = OWLS) for the fly-by-nights (OWLS),
34 A (-A) Scott Joplin genre (rag = -GAR-) from America (-A-) that’s popular (in = NI-) with all the characters, rises (= reverse all indicator) (NIAGARA) and falls (NIAGARA Falls),
35 Father (RE-V-) includes piece of fiction (-LIE-) from old (-O) (RELIEVO) child’s game (RELIEVO),
36 Given a (given a = GIVE AN) break (= anagram indicator), model (EXAMPLE) (GIVE AN EXAMPLE) offers to provide a case in point (GIVE AN EXAMPLE).
Down:
2 Stealing (pinching) starting off (p) (‘pinching’ without ‘p’ = INCHING) by moving slowly and carefully (INCHING),
3 There’s no VAT in Tel Aviv (there’s no ‘VAT’ in ‘Tel Aviv’ = eliv = EVIL) – that’s just morally wrong! (EVIL),
4 Similar to 3 down (‘evil’ is similar to NO GOOD) and that’s useless (NO GOOD),
5 Long John Silver (PEG LEG) was taught in Irish schools (“Peig” = “peg” = PEG) reportedly (= homophone indicator) at one stage (LEG) (PEG LEG),
6 Serb leaves Sorbonne (‘Serb’ leaves ‘Sorbonne’ = oonn = NOON) in the middle of the day (NOON),
7 Bar (OCCLUDE) coding primarily (‘coding’ primarily = -C-) in Cloud (Cloud = OC-LUD-) working (= anagram indicator) with engineer (-E) (OCCLUDE),
8 Advice from this old man, he plays one, etc., (Nursery Rhyme “This Old Man, he plays one, He plays knick knack on my thumb ... GIVE A DOG A BONE) to cater for boxer (GIVE A DOG A BONE),
9 Get out of appointment (GIVE UP ONE’S JOB) with Jack in The Post (jack in the post = GIVE UP ONE’S JOB),
14 A golden (a golden = DONEGAL) lark (= anagram indicator) is one of 32 (one of 32 counties = DONEGAL),
16 Al Capone doesn’t have ale (‘Al Capone’ doesn’t have ‘ale’ = CAPON) with chicken (CAPON),
18 Giant (TITAN) of Italian Renaissance (Titian) hasn’t got one (i) (“Titian” without “i” = TITAN),
20 Relative (SON) goes on with no ego (‘goes on’ with no ‘ego’ = son = SON),
21 The bar (LAW) discovered in Delaware (discovered in ‘Delaware’ = LAW),
24 Asian (BENGALI) man (BEN-) and American woman (-GAL-) on island (-I) (BENGALI),
26 It’s an outrage (RAW DEAL) to do business (DEAL) starting (= positional indicator) revolutionary (= reversal indicator) conflict (war = RAW) (RAW DEAL),
27 Keep to yourself (RETAIN) going in and out of retail chain (going in and out of ‘retail chain’ = RETAIN),
28 Maximilian (MA-X) admits taking refuge in capital’s (“taking refuge in” capitals = -TRI-) (MATRIX) Square associated with mathematician (MATRIX),
32 Expose (BARE) acts thrown out of cabarets (‘acts’ thrown out of ‘cabarets’ = bare = BARE),
33 Ease off the sea miles (‘ease’ off the ‘sea miles’ = mils = SLIM) and get into shape (SLIM).