Across:
1 No chance of falling down (WELL SUPPORTED) in waterhole (WELL) with drunk (= anagram indicator) dupes (dupes = SUP-ED) consuming wine (-PORT-) (WELL SUPPORTED),
10 Practical (practical EXAM-) place (-PL-) to find last role (last ‘rolE’ = -E) (EXAMPLE) model (EXAMPLE),
11 Port in a storm (port in a storm = REFUGE-) for Oriental (East = -E) (REFUGEE) leaving China for Taiwan, for example (REFUGEE),
12 Put down (LAID) from American city (Los Angeles = LA-) papers (-ID) (LAID),
13 Waste of a grill (ASHES) for Shea’s (Shea’s) bash (= anagram indicator) (Shea’s = ASHES),
15 Jam (FILL) with loud music (forte = F-) in a bad way (-ILL) (FILL),
17 Learnt off earnestly? (‘learnt’ off ‘earnestly’ = esy = YES) Of course! (YES),
19 Things you hear in church (ORGANS) produced by the newspapers (ORGANS),
21 Her work is bound to be read (AUTHOR) by the bookmaker (AUTHOR),
22 Doesn’t give up (keeps = KEEP-S) going around ward (-ER-) (KEEPERS) saving for their teams (KEEPERS),
23 Pick over (NIBBLE) point (compass point North = N-) to Bible- (Bible) -bashing (= anagram indicator) (Bible = -IBBLE) (NIBBLE),
25 Shows pictures (CINEMA) of mine (mine) engineer (= anagram indicator) (mine = -INEM-) in California (C-A) (CINEMA),
27 Taped leaving Budapest (‘taped’ leaving ‘Budapest’ = bus = BUS) going from terminus to terminus (BUS),
29 Look in on (CALL) borders of Californian Bluebell (borders of ‘CAlifornian BluebeLL’ = CALL),
30 Fit (WELL-) to start something (start ‘Something’ = -S) (WELLS) on all sides today (‘well’ on four sides of today’s grid = WELLS),
31 Get ready to take flight (TAXI) with what’s bound to concern revenue (TAX-) from island (-I) (TAXI),
34 Stable (EVEN-) in (-IN-) Gulf leading (‘Gulf’ leading = -G) (EVENING) at the end of the day (EVENING),
35 Movement (= anagram indicator) on edict (on edict = D-NOTICE) restricting British editors from publishing story in the national interest (D-NOTICE from ‘Defence Notice’),
36 How you might describe mummy? (WELL PRESERVED) Looking good for her age! (WELL PRESERVED).
Down:
2 Avoiding (EVADING) most of (p) the salsa (dip) for instance (‘dip’ without ‘p’ = -DI-) in vegan (vegan = EVA-NG) dish (= anagram indicator) (EVADING),
3 Mouthy types (LIPS) speaking of evil on both sides (‘SPeaking of evIL’ on both sides = spil) backtracking (= reverse indicator) (spil = LIPS),
4 Sue any (Sue any) criminal (= anagram indicator) (Sue any = UNEASY) that’s worried (UNEASY),
5 They’re holding the Coppers’ (PURSES holding the coppers/change) and Super’s (supers) suspect? (= anagram indicator) (supers =PURSES),
6 Neighbours in the air (RAF-) on the first (‘The’ first = -T) (RAFT) transport overseas (RAFT),
7 What you might get for breakfast in London (ENGLISH breakfast), in a manner of speaking (ENGLISH),
8 Unable to move (WELL CONNECTED) having friends in high places (WELL CONNECTED),
9 Source (WELL) from 19 across (‘organs’) briefly (s) (‘organs’ without ‘s’ = -ORGAN-) is (-IS-) in contact with journalist (-ED) (WELL ORGANISED) and that’s all in order (WELL ORGANISED),
14 Kind (HELPFUL) of guidance (HELP-) at French (-F-) university (University of Limerick = -UL) (HELPFUL),
16 Not the first (‘Not’ the first = -N-) weekend (‘weeK’ end = -K-) stuck in beer (ale = A-LE) (ANKLE) joint (ANKLE),
18 What those in 19 across (‘organs’) are capable of (‘organs’ are capable of MUSIC) to score (MUSIC score),
20 Have a look around (SEE) for some of the ingredients served up (= reverse indicator) in cheesecake (some of the ingredients served up in ‘chEESecake’ = ees = SEE),
21 Part of the circle (ARC) raised (= reversal indicator) in theocracy (in ‘theoCRAcy’ = cra = ARC),
24 Swallow (BELIEVE) and insect (bee = BE -E) flying around live (live) action (= anagram indicator) (live = -LIEV-) (BELIEVE),
26 Test (EXAMINE) probe? (EXAMINE),
27 Horse (-GG-) found in Paddington (Paddington Bear = BE-AR) (BEGGAR) by poor person (BEGGAR),
28 Team (team/side = S-IDE-) includes novice (learner = -L-) with school (-S) (SLIDES) playground types (SLIDES),
32 It’s testament (WILL) to the extremes of Winston Spencer-Churchill (the extremes of ‘WInston Spencer-ChurchiLL’ = WILL),
33 Bank’s social entrepreneur (banks ‘SOcial entrepreneUR’ = SOUR) is bitter (SOUR).