Across
Set down soldiers, infantry principally, in training camp (7)
Greek god's verbal plea for support? (7)
I haven't cracked this one yet — but Times for the Times have:
Aural wordplay[verbal]: “back us” [plea for support] / BACCHUS . The god of wine and revelry.
Is one not able to meet south-east Asian citizens? (9)
I haven't cracked this one yet — but Times for the Times have:
CAN’T ONE (is one not able to), SE (south-east)
Appeal of Daily Mail, initially (5)
Folk traditions one stops in French department (5)
Sickeningly upset most of malt whisky (9)
Supervisors inspired by alternative idea not referred to previously (14)
Summing-up of surrender by army corps (14)
Academic canny concealing report of arrest? (9)
Yarn assimilated by many Londoners (5)
Like heavy metal? That's mild sarcasm (5)
Female slave's poem involving wild quails (9)
Time relative backed strange patent medicine (7)
I haven't cracked this one yet — but Times for the Times have:
T (time) + SON (relative) reversed [backed], then RUM (strange). A quack remedy.
Young hare heading off round back of this mountain (7)
I haven't cracked this one yet — but Times for the Times have:
{l}EVERET (young hare) [heading off] containing [round] {thi}S [back of…]
Down
Submissive medic on French island (6)
Church leader perturbed at first about petty quarrel (7)
I haven't cracked this one yet — but Times for the Times have:
P{erturbed} [at first], ON (about), TIFF (petty quarrel)
Way a person cut a flowering plant (9)
New term mother engendered primarily for temperature gauge (11)
I haven't cracked this one yet — but Times for the Times have:
Anagram [new] of TERM MOTHER E{ngendered} [primarily]. An absolute write-in.
Extra purchase, by the sound of it (3)
Prickly plants originally culled before opening of play (5)
I haven't cracked this one yet — but Times for the Times have:
C{ulled} [originally], ACT I (opening of play). Another write-in.
Non-believing female overcome by high temperature (7)
Day Moses exercised spitz-like dogs (8)
Around noon, preacher finally consumed beer and cheese (11)
I haven't cracked this one yet — but Times for the Times have:
WESLEY (preacher – John Wesley) containing [around] N (noon), then {consume}D [finally], ALE (beer)
Thoroughgoing quartet entering in future, perhaps (9)
I haven't cracked this one yet — but Times for the Times have:
IV (quartet) contained by [entering] IN + TENSE (future, perhaps)
Old German's afterthought about game Welsh girl (8)
I haven't cracked this one yet — but Times for the Times have:
PS (afterthought – postscript) containing RU (game – Rugby Union), then SIAN (Welsh girl)
US partnership in Civil Service, a cause of much amusement (7)
I haven't cracked this one yet — but Times for the Times have:
A + HOOT (cause of much amusement) contained by [in] CS (Civil Service). US slang for being in collusion with.
Indirect learning ability encountered in old varsity sportsperson (7)
I haven't cracked this one yet — but Times for the Times have:
IQ (learning ability) contained by [encountered in] O (old) + BLUE (varsity sportsperson)
Fashionable group taking in start of county cricket, say? (6)
I haven't cracked this one yet — but Times for the Times have:
IN (fashionable), then SET (group) containing [taking[ C{ounty} [start of…]
Counsel possibly ignoring wife's thickness (5)
Physicist's residence in Bow, do we hear? (3)
Type letters or click words in the clue