Across
Hundreds of runs etc — strangely, that's admitted (9)
I haven't cracked this one yet — but Fifteensquared have:
*(runs etc) [anag: strangely ] with i.e. ("that is") admitted
Amusing setter's latest splits party fifty-fifty (5)
I haven't cracked this one yet — but Fifteensquared have:
(sette) R [ 's latest ] splits DO ("party") + L (fifty, in Roman numerals) + L (fifty)
A hundred to clue 4 (4,5)
I haven't cracked this one yet — but Fifteensquared have:
F(IV)E'S CORE is IV (4, in Roman numerals)
A hundred pence to embrace that fellow ape (5)
Cartoons from Japan are funny; matinees not showing ET (6)
Support for sources of fresh water? Hear, hear! (4,4)
Resented being drugged inappropriately (7)
See 23
Retires with everyone's favourite vessels after every other raid (8)
I haven't cracked this one yet — but Fifteensquared have:
JO ("everyone's favourite") + URNS ("vessels") after [ every other ] (r) A (i) D I can't fully parse this as I can't see why JO is "everybody's favourite". It may refer to Jo March in "Little Women", or, less likely, an old Scots word for beloved.
Boatman told to go for being inattentive (6)
Lows include the core of a hundred states of mind (5)
I haven't cracked this one yet — but Fifteensquared have:
MOOS ("lows") include [ the core of ] (hun) D (red)
Notes heartless move by way of working with African country, deporting the weak (9)
I haven't cracked this one yet — but Fifteensquared have:
[ heartless ] M (ov) E by MO (modus operandi, so "way of working") + R (w) ANDA ("African country", deporting W (weak, in physics))
Work on reported poverty (5)
Gave wrong name and governed after false claims (9)
Down
More than a hundred corrections to ignore (6)
A way to understand about Boatman, broadcast digitally (8)
I haven't cracked this one yet — but Fifteensquared have:
St. (street, "a way") + READ ("to understand") about ME ("Boatman")
Perhaps Vincent de Paul, a priest in Gascony, brought up burps (6)
I haven't cracked this one yet — but Fifteensquared have:
<=(St. ("perhaps Vincent de Paul, a saint) + CURÉ (French for "priest", so "priest in Gascony", brought up )
Creates fresh draft from a hundred raw soldiers (7)
Born romantic: a hundred music scores all begun by one composer (6)
Perhaps ConservativeHome seized by slow type, heading for recession (8)
I haven't cracked this one yet — but Fifteensquared have:
MP (Member of Parliament, so "perhaps Conservative") + IN ("home") seized by SLUG ("slow type")
Put briefly into boiling water, cutting out new cold tripe (4)
I haven't cracked this one yet — but Fifteensquared have:
BLA (nC) H ("put briefly into boiling water") cutting out N (new) + C (cold)
Trade uncovered over a hundred finalists in European space station (5,3)
I haven't cracked this one yet — but Fifteensquared have:
(t) RAD (e) [ uncovered ] over IOO ("a hundred") +[ finalists in ] (europea) N (spac) E
It's worth a hundred cents to escape from Monsieur Obrecht (4)
Perhaps glass ceiling: no opening for job with old head of company at its core (8)
I haven't cracked this one yet — but Fifteensquared have:
[ no opening for ] (j) OB with STALE ("old") with [ head of ] C (ompany) at its core
Fan of austerity called out as an inflexible parasite (7)
Showing pity for nothing: an empty hundred years, with no beginning and no end (2,4)
I haven't cracked this one yet — but Fifteensquared have:
O (nothing) + [ an empty ] H (undre) D + (y) EAR (s) [ with no beginning and no end ]
One hundred taken on by champion simultaneously (2,4)
17a
Good hundredth puzzle, accepted without debate? (6,7)
Type letters or click words in the clue