Across
Run off incline, changing direction at first (5)
I haven't cracked this one yet — but Times for the Times have:
SLOPE = incline, change South to East.
Promotional industry replacing content of billboards in part of South Dakota (8)
I haven't cracked this one yet — but Times for the Times have:
B[ILLBOARD]S (contents of billboards) is replaced by ADLAND (where I used to work). Now a National park, the area has an unfortunate history (as far as the Sioux are concerned, at least).
Cosmetic treatment transforming pert and saucy girls (7,7)
Obstruction, wide, first to last leading to jam (9)
I haven't cracked this one yet — but Times for the Times have:
BROAD (wide) has the B moved to the front of LOCK = jam.
Male embraced by lover not entirely a source of religious inspiration (5)
I haven't cracked this one yet — but Times for the Times have:
SWAI[N] has M for male inserted.
Mostly underhand offer? (6)
I haven't cracked this one yet — but Times for the Times have:
SUB MITT could be “under hand”, so mostly omits the end T.
Scorpion? A sudden sally will protect chief, note (8)
I haven't cracked this one yet — but Times for the Times have:
A RAID = a sudden sally, insert CH (chief) N (note).
Boxer observed accepting inadmissible payment method (8)
I haven't cracked this one yet — but Times for the Times have:
SAW (observed) with OUT (inadmissible) HP (hire purchase) inserted.
Be part of a lot of work I put into pub (4,2)
I haven't cracked this one yet — but Times for the Times have:
JO[B] = a lot of work, INN (pub) has I inserted.
Cut back openings for computing trainees? Absolutely right (5)
I haven't cracked this one yet — but Times for the Times have:
EXA (AXE = cut, reversed) then initial letters of computing trainees.
Unexpectedly needing a forte — or even louder? (9)
Standing behind stuff inside motorway shop (7,7)
Society rebuffed my fake orchestral piece (8)
Proposition left a married French woman taken aback (5)
I haven't cracked this one yet — but Times for the Times have:
L for left, then A MME (Madame) reversed.
Down
Form of AI no longer fresh, surely lacking core support (6,6)
Wartime beach: second that's turned over, I see (5)
Arrange peace after lab site vandalised (9)
Summon Bishop and judge to depose King (6)
I haven't cracked this one yet — but Times for the Times have:
B for bishop, [R]ECKON = judge with R removed.
Drank foolishly after a lot of narcotic, did one? (8)
Naval area upset about member of US military offering protection (5)
Exclamation of annoyance about two different names given to a swordsman (9)
I haven't cracked this one yet — but Times for the Times have:
DARN ! with TAG and N for name inserted.
Dead — hanged in awfully secret plan (6,6)
Initially tense year after Asian island suppresses routine violence (9)
I haven't cracked this one yet — but Times for the Times have:
BALI the Asian island has RUT (routine) inserted, then TY = initially Tense Year.
Narrow escape in visit to cathedral personnel? (5,4)
I haven't cracked this one yet — but Times for the Times have:
If you made a call to the Cathedral Close residents, you’d be visiting the cathedral.
Dance supporter coming round with energy (8)
I haven't cracked this one yet — but Times for the Times have:
FAN (supporter) with AND (with ) inserted then GO = energy. I’ve only heard of this dance through the familiar words of Queen’s Bohemian Rhapsody. “I see a little silhouette of a man; Scaramouche, Scaramouche, will you do the fandango?” and so on. Earworm time.
Male set up by antihero in fiction (6)
Flower blooming, nothing less, up on border (5)
Man, after one day, displaying specific way of speaking (5)
I haven't cracked this one yet — but Times for the Times have:
I (one) D (day) IOM (Isle of Man).
Type letters or click words in the clue