To be fair, there were many standard Quiptic-like clues, but the cryptic-definition clues were, I thought, a bit over-, well, cryptic for a Quiptic. Notwithstanding all that, thanks to Anto. Definitions are underlined in the clues.
Across
1 Arrangement of locks to hide crown from public view (4,4)
COMB OVER : Cryptic defn: Reference to combing what little hair;locks you might have over the bald patch on the crown of your head to hide it from view.
6 Entirely possible that bones from Oz might be found here (2,4)
IN TOTO : Cryptic defn: Reference to the skeleton that can be found in Toto, Dorothy’s dog in the land of the Wizard of Oz.
9 Easy for America to turn into a state (6)
CASUAL : Reversal of(… to turn) USA(abbrev. for the United States of America) contained in(into) CAL(abbrev. for the American state of California).
10 Light on panel may start flickering (4,4)
NEON LAMP : Anagram of(… flickering) [ ON PANEL + the 1st letter of(… start) “may“].
11 Having a good time out, courtesy of the council? (2,3,4)
ON THE TOWN : ON(paid for by, as in “drinks are on me”;courtesy of) [THE TOWN](as represented by the term, “the [town] council”)
13 Pass over the centre of this grid (5)
CROSS : Cryptic defn: Refering to the 4 shaded cells in the shape of a cross in this crossword grid.
15 French place empty lorry with consideration … (6)
NICELY : NICE(the French Riviera town) + “lorry” minus its 3 inner letters(empty …).
17 … packing it with trouble — it makes you smile (3,3)
KIT BAG : Cryptic defn: Reference to the WW1 marching song, ” Pack All Your Troubles In Your Old Kit-Bag and Smile, Smile, Smile”. So, the clue should read “… with troubles – …”.
Defn. The first “it” in the clue.
18 Hate university in East NewYork (6)
ENMITY : MIT(abbrev. for the Massachusetts Institute of Technology, a university in Cambridge, Massachusetts, USA) contained in(in) [ E(abbrev. for “East”) + NY(abbrev. for New York) ].
19 Blame Nicola, having returned the pictures (6)
CINEMA : Hidden in(…, having) and reversal of(… returned) “Blame Nicola“.
Defn: Movies, collectively.
21 Traitor heads for jail under data abuse statute (5)
JUDAS : The 1st letters, respectively, of(heads for) “jail under data abuse statute“.
22 Japanese comics seen playing heavy metal (9)
MANGANESE : MANGA(a style of Japanese comic books and graphic novels, aimed at adults and children) + anagram of(… playing) SEEN.
25 A dry type hurt when linked to … (8)
ATTACHED : A + TT(abbrev. for “teetotaller”, one who abstains from alcohol;a dry type) + ACHED(hurt).
26 … quite detested location for international cricket match (6)
INDEED : In the word “detested“, the place;location for the word “test”(an international cricket match) is IN the word “DEED”.
28 Break up deal as part of union agreement? (6),
PRENUP : Cryptic defn: Reference to the prenuptial agreement;the deal entered into as part of a marriage;union agreement, outlining who gets what when the marriage breaks up.
29 Inoffensive language adds nothing to it (5,3)
SWEAR BOX : Cryptic defn: Reference to the box into which go the monetary fines collected from anyone in the group each time he/she utters a swear word.
Down
2 Ingredients for Roman omelette? (3)
OVA : Cryptic defn: Reference to the original Latin;Roman word for the ingredients of an omelette.
3 Shame about the face (5)
BLUSH : Cryptic defn: Reference to how shamefulness is evidenced on;about the face.
4 Toil at Livy translation that involves constant change (10)
VOLATILITY : Anagram of(… translation) TOIL AT LIVY.
5 Note about part of speech you heard (6)
RENOWN : RE(about;with reference to) + homophone of(… you heard) “noun”(a part of speech in grammar).
Defn: …;distinction;reputation.
6 He often helps a mad scientist dig for missing heads (4)
IGOR : “dig for” minus their respective 1st letters(missing heads).
Defn: The name, derived from and reinforced by pop culture, that represents, in the public imagination, one who helps a mad scientist, such as Dr. Frankenstein and other horrific villains. It was first used in the Frankenstein movies based on the Mary Shelley novel, although there was no assistant in the latter.
7 It’s OK how the Spanish appreciate republican joining board (9)
TOLERABLE : [ OLE!(how;the expression that the Spanish use to show their appreciation) + R(abbrev. for “Republican”, a member of the political Republican Party) ] contained in(joining) TABLE(board;the flat surface on which a meal is served).
8 They indicate when to check speed of traffic lights (4,7)
TIME SIGNALS : TIME(to check;measure the speed of;how fast something is moving) + SIGNALS(traffic lights at a road intersection).
12 It doesn’t follow that nurse quit on being redeployed (3,8)
NON SEQUITUR : Anagram of(… being redeployed) NURSE QUIT ON.
Defn: Latin phrase describing a conclusion or statement that does not logically follow from the previous argument or statement.
14 Edit metaphor for economic growth (6,4)
RISING TIDE : A reverse clue. Reversal of(RISING, in a down clue) TIDE = “Edit“.
Defn: A figure of speech;a metaphor that describes an economic policy;economic growth that will benefit all in the economy, viz. “a rising tide lifts all boats”.
16 I didn’t hear you say I’m welcome back (4,5)
COME AGAIN : Double defn: 1st: Said when I didn’t hear what you said, and I would like you to repeat it; and 2nd: Something you say to welcome me back another time.
20 Loose dart is more in than out! (6)
TARDIS : Anagram of(Loose) DART IS.
Cryptic defn: Reference to the police box cum time machine of television’s time traveller Dr. Who. The space inside the box was much more than what it looked like from the outside.
23 The only way is up from here (5)
NADIR : Cryptic defn: Reference to the phrase, “When you’re at the bottom, the only way is up” or “After you’ve hit rock bottom, the only way is up” or equivalent.
24 Small trendy carrier, perhaps (4)
SHIP : S(abbrev. for “small”) + HIP(trendy;fashionable).
27 Say nothing? Unlikely, if you have one (3)
EGO : EG(abbrev. for “exempli gratia”;for example;say) + O(the letter signifying 0;nothing).
Defn: The conscious mind, possession of which would give you the facility of speech. A WIWD (wordplay intertwined with definition) clue.
