Across
1 Across Complains loudly when MP hurrahs erratically (9) → HARRUMPHS Anagram
Anagram of “MP hurrahs”.
6 Across Part of satiety involves a draw (3) → TIE Hidden word
Hidden inside “satiety”.
8 Across West wants aid, producing a pup (5) → WHELP Charade
W + HELP.
9 Across Look after a ref caught between calcium and a choice (4,3) → CARE FOR Container
REF inside CAOR.
11 Across Vessel-widening procedure obtained by playing so at, oddly (11) → ANGIOPLASTY Anagram
Anagram of “playing so at”.
13 Across Many old tunes, initially, form a witty saying (3) → MOT Initialism
First letters of: Many, old, tunes.
14 Across Doubtful about a joule in a moment (5) → JIFFY Charade
J + IFFY.
15 Across Article followed by myself, a tropical bird (3) → ANI Charade
AN + I.
16 Across Life-based nourishment support system used in therapy (11) → BIOFEEDBACK Charade
BIO + FEED + BACK.
19 Across Sit heat oddly, like one denying God (7) → ATHEIST Anagram
Anagram of “sit heat”.
21 Across Typo sessions reveal awkward stances (5) → POSES Hidden word
Hidden inside “typo sessions”.
23 Across Professor returning offers a slight bow (3) → NOD Reversal
DON reversed.
24 Across Kit boxes are engine housings (9) → GEARCASES Charade
GEAR + CASES.
Down
1 Down Horse eats wheat, initially, to chop (3) → HEW Initialism
First letters of: Horse, Eats, Wheat.
2 Down Respond, holding a printer's space, to restage (7) → REENACT Container
EN inside REACT.
3 Down Not fixed to a wooden pin, set free (5) → UNPEG Charade
UN + PEG.
4 Down Muscle found within special effects team (3) → PEC Hidden word
Hidden inside “special”.
5 Down Quiet, by a small stream, with unknown quantity, piercingly (7) → SHRILLY Charade
SH + RILL + Y.
6 Down Stiff, rearranged, causes minor quarrels (5) → TIFFS Anagram
Anagram of “stiff”.
7 Down Part of a yearly birdcage check, worm-catcher? (5,4) → EARLY BIRD Hidden word
Hidden inside “yearly birdcage”.
10 Down Disabled mastermind turns out to be a fool (9) → LAMEBRAIN Charade
LAME + BRAIN.
12 Down Reference book grasping loud passage, killed (5) → OFFED Container
FF inside OED.
14 Down Scoffing and booing, both taunting (7) → JEERING Double definition
Two separate definitions of the same word.
15 Down Smelly practices, start removed, are elephant goads (7) → ANKUSES Deletion
RANKUSES without its initial R.
17 Down Old owl hunts every deer initially, exclaiming wonder (5) → OOHED Initialism
First letters of: Old, Owl, Hunts, Every, Deer.
18 Down Jelly found within clasp icons (5) → ASPIC Hidden word
Hidden inside “clasp icons”.
20 Down Thanks, holding a watt, defunct airline (3) → TWA Container
W inside TA.
22 Down This ostrich hides a call for help (3) → SOS Hidden word
Hidden inside “this ostrich”.
