Sometimes the clues come easy, sometimes they don't... Some of these were unexpectedly tricky to clue. Here are my explanations for the perplexed & curious:
1A1ACook hosts "Zen work-out" in an agitated state (6)
[------] .
cook = FRY, around anag. ZEN.
4A4ALose rights to firearm, and so become more refined (6)
[------] .
firearm = REVOLVER; subtract rights = Rs.
9A9ATom maybe taking shelter beneath umbrella (5)
[-----] .
hidden in beneaTH UMBrella.
10A10AClear box office returns against debts (7)
[-------] .
reversal of box office = BO + against = V (versus) + debts = IOUS.
11A11ARifle managed to fire (7)
[-------] .
managed = RAN, to fire = SACK.
12A12ATell porkies about the English? Good lord! (5)
[-----] .
tell porkies = LIE, around English = E + good = G.
13A13APublic shows mental blocks, when what's trendy is no-longer so (11)
[-----------] .
mental blocks = INHIBITIONS, switching trendy = IN for no-longer = EX.
18A18A"Imprecise, incomplete?" - That's relative! (5)
[-----] .
imprecise = UNCLEAR, incomplete.
20A20ALaciest, flexible, stretchy stuff (7)
[-------] .
anag. LACIEST.
22A22AWriter with a couple of guests at home: not the flighty sort (7)
[-------] .
writer = PEN, couple of guests = GU, at home = IN.
23A23ASmell nothing? Grim! (5)
[-----] .
nothing = I, grim = DOUR.
24A24AJudge accepts false statement? Some consolation! (6)
[------] .
judge = REF, around false statement = LIE.
1D1DTense, but not present (6)
[------] .
Cryptic(-ish) definition.
2D2DHorsey finishing off with bull, at a balanced time of year (7)
[-------] .
horsey = EQUINE, not finished; bull = OX.
3D3DAngular bezel forms enclosure for climbing beast (5)
[-----] .
hidden reversed in angulAR BEZel.
5D5D6-5 laid off by one famed for his seasonal work (7)
[-------] .
6 = VI + 5 = V + anag. LAID.
6D6DShake off covering for one's head - it's a bit wobbly (5)
[-----] .
shake off = LOSE around one's head = O.
7D7DFestival of the last primrose and Michaelmas daisy (6)
[------] .
last primrose = E, Michaelmas daisy = ASTER.
8D8DHas Elon ironed kink out? Completely, when taken for a ride (4, 4, 3, 6)
[-----------] .
anag. HASELONIRONEDKINK.
14D14DHe rapped about the water cooler (3, 4)
[-------] .
double definition.
15D15DMake new connections after tax duty (7)
[-------] .
after tax = NET, duty = WORK.
16D16DCable sweater? (6)
[------] .
double definition.
17D17DSenior eating bit of apple - they make some good points (6)
[------] .
senior = SR around bit of apple = CORE.
19D19DRoute for shipping container (one litre) (5)
[-----] .
container = CAN, one = A, litre = L.
21D21DMachine learning to look up? "Tuber's dressing!" (5)
[-----] .
machine learning = AI, reversal of look = LO, tuber = I.