After a long long time, I had enough patience and time to sit and solve The Hindu Crossword. Took two hours, but the rush of finishing it is AWESOME. Here you go. Answers with explanations!
Across
1 Would the salesman soar to a theme repeated in music? (7)- reprise {Rep+rise}
5 What a query seeks (6)- easy one- answer
11 Invigorate with some Payyoli venison (5)- container clue- liven meaning invigorate in “Payyoli venison”
12 Alumna, o'so peculiar and inconsistent (9)- Anagram of “Alumna, o'so” - anomalous
13 Desolate place made famous by Eliot (9)- wasteland- eliot ‘s work-googled
14 The girl about to return is so thin (5)- good one- she+return (er)= means sheer
15 A hoodlum would add a plug to it (4)- Ugly- Don’t know how it fits, but got it from the rest of the letters
17 Old instrument found right in the middle of broken oil can (7)- good one- anagram of oil can +”r” for right=clarion
21 One male, out-of-date, in a deadlock (7)- (one=I) + (male=M) + ( out of date=passé)= impasse= deadlock
22 Strip the skin of poacher's first slippery swimmer (4)= Peel J (poacher’s first=p + slippery swimmer= eel)
26 He would lead a novice into drug (5)= pilot (Got it from he would lead. Guess has some pot funda to it)
27 Relatively smaller fish, a subordinate (9)= underling= sub-ordinate
29 A German terrorist, heartless and losing head, reformed by university official (9)- Registrar- complicated, got from university official and the other letters
30 Say hello, get to receive a note (5)- Awesome one- get+note (musical note =re) greet meaning say hello
31 Go back escorting girl on a pleasure trip (6) = Outing! Go is back and hence is g & o, and pleasure trip. Guess nitu thing is slightly dumb
32 Commercial poetry unfavourable to one's interests (7)= adverse! J brilliant one. Commercial=ad+ poetry=verse)
Down
2 Part of the roof whereunder one may overhear talk (5)- eaves [Basic civil engineering to rescue and also from the eavesdrop thing]
3 Money put up for a curdling agent (6)- rennet- it is a cheese like thing. Money is “re” and then found cheeses starting with re.
4 POW camp that put gals at jeopardy (6)- anagram of gals at= stalag [Prisinor of war camp]
6 Craft of Biblical survivors (5,3)- easy- Noahs ark
7 Everything, with a bit added, is nutritious (9)- awesome one- (everything= whole)+(a bit=some) = wholesome
8 Place to relax with others around Oregon (6)= resort , from place to relax
9 Weapon for a second grade, depressed shooter (7)= good one-> (second grade=b)+ (depressed=low)+(shooter=gun) = blowgun
10 Venetian attraction, first of dories in a churning lagoon (7)= (first of dories=d)+(lagoon) anagram= gondola
16 Publicity for a Chaplin film (9)= limelight!
18 Enthusiastic supporter of division at home accepts appeal (8)= partisan(Got from meaning and division=part)
19 Draughtsman's tool (1-6)= T square (ED!)
20 Voyages of a student involved in brawls (7)= flights (Fights+l) got from the meaning of voyages and fights
23 Spectacles include harbour in Portuguese town (6)= OOOH visual clue! Spectacles=OO, put (harbor=port) in it. Oporto is in Portugal said Google!
24 Admired — dead or otherwise (6)= adored. Sort of container
25 The accent of a born blackguard (6)=brogue (got from other letters. Apparently it is a shoe, can be considered as a blackguard)
28 The things revealed when kismet is reversed (5)=kismet reversed= items J