Across:
1 Rejects (= reversal indicator) painting (art = TRA-) by university (-U-) graduate (-MA) (TRAUMA) – it comes as a shock (TRAUMA)
4 Take in the winter lake (ICE SKATE) and fish (SKATE) behind (= positional indicator) on the rocks (ICE) (ICE SKATE),
9 Fixes (RIGHTS) red lights with no LED (‘red lights’ with no ‘LED’ = rights = RIGHTS),
10 Driving a nail into coffin (DAMAGING) of dead leader (‘Dead’ leader = D-) from America? (-A-) Wise guys (-MAGI-) and heartless (a) bully! (‘nag’ without ‘a’ = -NG) (DAMAGING),
12 Alfie (-ALFIE-) found in Siberian (Siberian = cold = CO-LD) (COALFIELD) place of mine perhaps (place of mine perhaps = COALFIELD),
13 Clip (n) of Nirvana (‘heaven’ without ‘n’ = HEAVE) in lift (HEAVE),
14 They make sure The Three Bears, for instance, aren’t exploited (ANIMAL RIGHTS) by 7 down (‘animal’ = ANIMAL) and 9 across (‘rights’ = RIGHTS) (ANIMAL RIGHTS),
18 One of those working in The Vatican (FATHER FIGURE) takes care of someone else’s issue (FATHER FIGURE),
21 Tailor (ADAPT) with a (A-) type of accommodation (pad) up (= reversal indicator) (pad = -DAP-) on square (-T square) (ADAPT),
22 Local subsidises (BANKROLLS) those with the dough (BANK-) for the baps and blaas (-ROLLS) (BANKROLLS),
24 Intellectual (CEREBRAL) in Clare (CE-) gets real (-RE-AL) about brother (-BR-) (CEREBRAL),
25 A number (FIGURE) of those characters at the end of 18 across (characters at the end of ‘father figure’ = FIGURE),
26 One paying attention (LISTENER) to line (-L-) from translated (= anagram indicator) entries (entries = -ISTENER) (LISTENER),
27 Founder (FATHER) opening 18 across (opening ‘father figure’ = FATHER).
Down:
1 Leader of Cuban (leader of ‘Cuban’ = -C-) Revolution (TURN-) from the start (= position indicator) took Chinese philosophy (TAO) back (= reverse indicator) (TAO = -OAT) (TURNCOAT) from renegade (TURNCOAT),
2 Starter of ravioli (starter of ‘Ravioli’ = -R-) in Antigua (Antigua) splattered (= anagram indicator) (Antigua = AU G-ATIN) (AU GRATIN) and sprinkled with nice cheese (with Nice/French cheese = AU GRATIN),
3 Misfortune to lose nurse (‘misfortune’ to lose ‘nurse’ = mifot = MOTIF) by design (MOTIF),
5 A union or non-union band (CLADDAGH RING) in Galway (CLADDAGH) and in Waterford (RING) (CLADDAGH RING),
6 A taste of Italy (SPAGHETTI) in Pat’s eight (Pat’s eight) ingredients (= anagram indicator) (Pat’s eight = SPAGHETTI),
7 Line managers dishing out greens (‘line managers’ dishing out ‘greens’ = linmaa = ANIMAL) typical of the farm (ANIMAL).
8 Finishes with Maria drinking alcohol (finishes with ‘mariA drinkinG alcohoL’ = -AGL-) in flipping (= homophone indicator) view (see = E-ES) (EAGLES) of high flyers (EAGLES),
11 Take responsibility (BEAR THE BLAME) in Belgium (B-) for crafty type (art = -AR T-) and an element (helium = -HE) finding fault (BLAME) (BEAR THE BLAME),
15 Has the means (-ABLE) to go after (= position indicator) 21 across (‘adapt’ = ADAPT-) (ADAPTABLE) but that can change (ADAPTABLE),
16 Work break (FURLOUGH) for Fox (fox FUR-) and Allen, for example (-LOUGH Allen) (FURLOUGH),
17 Oats from Western Samoa (‘oats’ from ‘Western Samoa’ = weernsam = MENSWEAR) for boxers, for instance (boxers/men’s underwear = MENSWEAR),
19 Friend (pal = PA-L) admits writing (from the three Rs = -R-) to church (Church of England = -CE-) (PARCEL) – what would you expect from a man of letters? (PARCEL),
20 It’s unreasonable (MAD-) for Irish race (Irish ‘race’ = Rás Tailteann = Ras = -RAS) (MADRAS) accompanying 23 down (MADRAS curry accompanying ‘raita’),
23 Tailor-made without model (‘tailor-made’ without ‘model’ = taira = RAITA) for a dippy Indian type (RAITA).