Across:
1 Classy type on tap (classy type on tap dance / DANCING MASTER) and the hot shot when it comes to clubbing (DANCING MASTER),
10 Swallowed (ATE-) deception (-LIE-) at republican (-R) (ATELIER) workshop (ATELIER),
11 Institute (-I-) in Shannon (RIV-ER-) close to a (-A) (RIVIERA) nice part of the world? (Nice on French RIVIERA),
12 Trim (CUT-) at the end of June (end of “June” = -E) (CUTE) is as pretty as a picture (CUTE),
13 Adjust figures (RESET) for fallen (= anagram indicator) trees (trees = RESET),
15 Turns up (= reversal indicator) almost (e) late (“late” without “e” = lat = TAL-) and is caught (-C) (TALC) with white powder (TALC),
17 Posed (posed/modelled = SAT) for 20 down in the past (“sit” in the past = SAT),
19 No cash (no cash = NACHOS) produced for cheesy snacks (NACHOS),
21 Ruminate (C-HEW) over a (-A-) small (-S-) (CASHEW) nut (CASHEW),
22 Type of cloth (OILSKIN) used by painter’s (used by painters = OILS-) folks (-KIN) (OILSKIN),
23 Musician (LYRIST) is one missing from the storyline (‘one’ missing for the ‘storyline’ = stryli = LYRIST),
25 Posted (posted = DESPOT) different letters (= anagram indicator) to ruthless leader (DESPOT),
27 Held in Gulag erroneously (held in “Gulag erroneously” = AGE) for a specific number of years (AGE),
29 Herb (SAGE) in open sandwich (open “sandwich” = S-) and 27 across (“age” = -AGE) (SAGE),
30 Kind of manual (USERS manual) for fraudsters dismissing Draft (“fraudsters” dismissing “draft” = users = USERS),
31 Doing nothing for banks (“doing nothing for” banks/sides = DOOR) on the way out (DOOR),
34 Tedious (tedious = OUTSIDE) boss (= anagram indicator) on the surface presumably (OUTSIDE),
35 Popular on some sides today (DANCING on three sides to day’s grids) for those fond of salsa (DANCING),
36 What are the chorus girls doing (DANCING) in Maynooth faculty? (SCHOOL in Maynooth
University) (DANCING SCHOOL) Offering tips to those in limbo, of course! (offering tips to those in limbo/West Indian dance = DANCING SCHOOL).
Down:
2 Scant month (-SEPT-) in first-class (A-I-) college (-C) (ASEPTIC) is not harmful in the slightest (ASEPTIC),
3 Take sow away from cowslip (“sow” away from “cowslip” = clip = CLIP) to prune it (CLIP),
4 New (N-) users (users = -URSES) mixed up (= anagram indicator) (NURSES) by those working in hospitals (NURSES),
5 Master key is missing – yes (“master key” is missing “yes” = materk = MARKET) in a place of commercial activity (MARKET),
6 Come to someone’s rescue (SAVE) in store (SAVE),
7 Take a look at (EYE-) liberal (-L-) health and safety authority (Health and Safety Authority = HSA = -ASH) review (= reversal indicator) (EYELASH) by coquettish flutterer (EYELASH),
8 What The Don gave to those in Chicago, for one (What The Don/teacher gave to those in Chicago/ the musical = DANCING LESSON), is instructive to those working around The Pole (is instruction dancing around The Pole = DANCING LESSON),
9 What Rumpelstiltskin might do (DANCE WITH RAGE) to make a scene (DANCE WITH RAGE),
14 Small (S-) precious type (gold = -AU-) with 29 across (“sage” = -SAGE) (SAUSAGE) in banger (SAUSAGE),
16 Kicking (= anagram indicator) boots (boots = BOOST) for one of the Spurs (spur/incentive = BOOST),
18 Party all night at the summits (“party all night” at the summits/tops = PAN-) with the foreign (the = -EL) (PANEL) critics (PANEL),
20 What was said to boxer (SIT said to boxer dog) in depositions (in “depositions” = SIT),
21 Police department (CID) characters immersed in xenophobic ideology (characters immersed in “xenophobic ideology” = CID),
24 A number of races set up in a row (REGATTA) to hit (= anagram indicator) a target (a target = REGATTA),
26 Confirm (prove) clip (e) (“prove” without “e” = PROV-) is (-IS-) of leading (“of” leading = -O) (PROVISO) rider (rider/stipulation = PROVISO),
27 Relative of Daisy’s (ASTER-) not the first (“not” the first = -N) (ASTERN) back from the navy? (“back” from the navy? = ASTERN),
28 Crumbles (ERODES) seed or (seed or = ERODES) nuts (= anagram indicator),
32 Some command is countermanded (some “command is countermanded” = DISC) by Ring (DISC),
33 It’s a measure (INCH) of the contents of porcelain china (contents of “porcelain china” = INCH).