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ACROSS

 1 Behind operator’s buggy, that woman’s clutching tail of dog that hurts a notable curmudgeon (5,3,6)

 9 Snatch money back, excluding $1,000 for software feature (7)

10 Update official with letter from Israel (7)

11 Terrible cad and liar discussed Arab leader’s fashionable embrace of left-wing causes (7,4)

12 & 22 Rush holds a sawbuck (6)

13 Customer’s financial claim in court (6)

14 Jarring ringtone that’s in the air (8)

17 Outdid Johnny and Brian, returning about mid-January (3-5)

19 Rob follows true believer (6)

22 See 12

24 Deranged pariah, alone with a musical instrument (7,4)

26 Beneficiary just articulated travel cost (7)

27 Nonnative plants and animals coexist uneasily (7)

28 Westbound streetcar, around six on Thursday, ought to produce an analytic system that might help you identify the loveless men at the end of three Across entries (7,7)

DOWN

 1 China removing limits for aquatic mammal (5)

 2 One hundred fix a feeling of elation (5,4)

 3 Polish a religious image in a historic river (7)

 4 Announce new Lear production in high definition (6)

 5 Composer improved her swing (8)

 6 Part of force, if regimented? (7)

 7 For example, Kafka in examination for auditors (5)

 8 Famous Argentine stunt: remix old joke (8)

13 European raincoat is ragged (8)

15 Frowning and somber over getting 100% (9)

16 Fans of rock band put on shirts (8)

18 Peter surrounds Hal with unknown soldiers in a line (7)

20 No halos disturbed interstellar smuggler (3,4)

21 Listen inappropriately, making no noise (6)

23 Honor Marilyn, displaying her first name (5)

25 Assignment involves one postulate (5)

SOLUTION TO PUZZLE NO. 3348

ACROSS 1 anag. 9 NAT (rev.) + TIER 10 anag. 11 FREN + ETIC (rev.) 12 na[t]tier anag. 13 hidden 14 pun 17 C[hap]lin (&lit.) 19 hidden 22 2 defs. 23 anag. 25 anag. 26 TITANI (anag.) + C 29 pun

DOWN 1, 7A, 27D, 28A CAN + DID + CAM +ERA 2 AN + TWERP 3 D + RIVER 4 MAR + DIG + RAS[h] 5 rev. 6 TRA(VEST)Y 7 DE(I)CIDE 8 DENT(ALF)LOSS 11 FAR + THING + ALE 15 anag. 16 DE(MO)LISH 18 PA + LOOK + A 20 C(HI)AN’T I 21 GOETH + E 24 rev.