Across
Two ponies traversing island, running freely (6)
I haven't cracked this one yet — but Times for the Times have:
L (fifty) QUID (two ponies, i.e. 2 x £25, unclear etymology) containing (traversing) I (island).
Barge afloat, but with no hint of underdeck? (8)
I haven't cracked this one yet — but Times for the Times have:
anagram of (barge) AFLOAT + BuT, minus the first letter of (with no hint of) underdeck – &lit.
Putting daughter in charge, pack lunch for the kids? (9)
Rat, heartlessly put in sack, turned and bit performer (5)
I haven't cracked this one yet — but Times for the Times have:
RaT without its middle letter (heartlessly) in AXE (sack), all reversed (turned).
Glider advanced beyond ring road (7)
Pawn to be exchanged, only for men to get into scrape (7)
Old damp blankets left for youngster prowling after dark (5)
Divine petite guide losing heart (8)
Ace singer-songwriter dropping round for a break (8)
I haven't cracked this one yet — but Times for the Times have:
A (ace) + BEYoNCE (singer-songwriter) replacing (dropping… for…) ‘o’ (round) with ‘A’.
Person who settled down here to fish (5)
Horse gets to Fence 1 … horse almost falls (7)
I haven't cracked this one yet — but Times for the Times have:
NAG (horse) containing (to fence) I (one) + ARAb (horse) minus the last latter (almost).
Joke about having run away from ordeal of marriage (7)
I haven't cracked this one yet — but Times for the Times have:
PUN (joke) reversed (about) + TrIAL (ordeal) minus the ‘r’ (‘run’ away).
US player discarding clubs on turning over card (5)
I haven't cracked this one yet — but Times for the Times have:
JOcK (US player) minus (discarding) ‘c’ (clubs) = reversal of (turning over) RE (on).
Intimate admonition to first couple overheard? (9)
All women objectified strapping boxer (8)
Someone bothering about the teaching of religion? (6)
Down
This may keep you afloat if you live around south of lake (8)
I haven't cracked this one yet — but Times for the Times have:
IF, then YOU + BE (live) reversed (around), all under (south of ) L (lake).
What for Guatemalan flag's filling empty spot up (7)
I haven't cracked this one yet — but Times for the Times have:
QUE (‘what’ in Spanish, for Guatemalan), then the central letters from (…’s filling) fLAg with ZiT (spot) minus the middle letter (empty) with all of that reversed (up) – &lit. This is the bird that appears (in an otherwise empty spot) on the Guatemalan flag, and also gives its name to the country’s currency. I could see how the clue worked, but did not know the necessary stuff, and plumped for ‘quetsal’, thinking ’empty spot’=’st’.
On the spot where scripture's penned by saintly itinerant (9)
Sheds and banks of earthen works by abandoned sinister property (4-10)
Nancy's very bored by sun making hair curl? (5)
I haven't cracked this one yet — but Times for the Times have:
TRÈS (‘very’ in Nancy, France) containing (bored by) S (sun).
Starting to argue is violation of decency (7)
Endpoint of serialist composer's journey (6)
I haven't cracked this one yet — but Times for the Times have:
last (endpoint) of serialisT + RAVEL (composer).
Uncompromising and on time, stage grips out to lunch after play (14)
I haven't cracked this one yet — but Times for the Times have:
DAIS (stage) on T (time), containing (grips) MENTAL (out to lunch), all after FUN (play).
One carving up outside of writing implement? (9)
Set the bell swinging around noon (8)
Leader to bring fraud group together (7)
I haven't cracked this one yet — but Times for the Times have:
first letter of (leader to) Bring + RACKET (fraud).
Lower gear for cycling club (7)
I haven't cracked this one yet — but Times for the Times have:
RIG (gear) moves the last to first (for cycling) + MACE (club). More usually spelled ‘lour’.
Vacuous idiot claiming he's joking, turning off and on printer (6)
I haven't cracked this one yet — but Times for the Times have:
first and last of (vacuously) IdioT, containing (claiming) the reversal of (turning) every other letter from (off and on) hE’s JoKiNg.
American river flowing out of range of hearing (5)
Type letters or click words in the clue