Across
How this puzzle was compiled: in a calculating manner with no introduction (13)
I haven't cracked this one yet — but Fifteensquared have:
How this puzzle was compiled : in a calculating manner, with no introduction <m> ATHEMATICALLY (=in a calculating manner); “with no introduction” means first letter is dropped
Big cat's claw quietly removed (5)
I haven't cracked this one yet — but Fifteensquared have:
Big cat ’s claw quietly removed <p> OUNCE (=claw, of a hawk); “ quietly (=p, piano, in music) removed” means letter “p” is dropped
Members of staff appear to backtrack over stratagem following closure of site (9)
I haven't cracked this one yet — but Fifteensquared have:
Members of staff appear to backtrack over stratagem following closure of site <sit> E (“closure of” means last letter only) + [PLOY (=stratagem, ruse) in MEES (SEEM=appear; “to backtrack” indicates reversal)]
Confuse smart woke colleagues (9)
Love extremely good conclusion to series (5)
I haven't cracked this one yet — but Fifteensquared have:
Love extremely good conclusion to series O (=love, i.e. zero score in tennis) + MEGA (=extremely good, brill); omega is the last letter of the Greek alphabet, hence “conclusion to series”
Cantonese? (7)
American chases lost sheep in ancient city (7)
Half-cut conservative tycoon oddly not prosperous (7)
I haven't cracked this one yet — but Fifteensquared have:
Half-cut conservative tycoon oddly not prosperous HAL <f> (“cut” means last letter is dropped) + C (=conservative) + <t> Y <c> O <o> N (“oddly not” means even letters only are used)
Polish revolt about introduction of Leninism (7)
I haven't cracked this one yet — but Fifteensquared have:
Polish revolt about introduction of Leninism L <eninism> (“introduction of” means first letter only) in SICKEN (=revolt, disgust); to slicken is to polish, make glossy
Pilgrim zips around inspiring Turkish port (5)
React violently after some people initially spend a lot of money (9)
I haven't cracked this one yet — but Fifteensquared have:
React violently after some people initially spend a lot of money S <ome> P <eople> (“initially” means first letters only) + LASH OUT (=react violently)
Hurry up! Agitated shark in swimming pool (9)
Content to snog a Tory backing southern region (5)
I haven't cracked this one yet — but Fifteensquared have:
Content to snog a Tory backing southern region Reversed (“backing”) and hidden (“content to”) in “sn OG A TO ry”; Otago is a region on the Southern Island of New Zealand
Art house style changes like a prevailing breeze (13)
Down
Process hides most of President's petulant display (7)
Flatbread sliced as likely as not (9)
Representative is mature not heartless (5)
One million people who tweet possibly could be bots? (9)
I haven't cracked this one yet — but Fifteensquared have:
One million people who tweet possibly could be bots ? I (=one) + M (=million) + POSTERS (=people who tweet possibly); in computing, imposter bots impersonate e.g. human behaviour on the internet
Bother bishop over Filipino dish (5)
People with interest in property mostly want to stop falsehoods (7)
Forbids the low blows in fighting arena (13)
Fools country about international slaughter (13)
I haven't cracked this one yet — but Fifteensquared have:
Fools country about international slaughter I (=international) in [ASS (=fool) + ASS (=fool) + NATION (=country)]
Gives swimmer indication that a deal has been agreed (9)
Welcomes quality bit of cold weather (9)
Father breaks into large car in river (7)
Wise guy back to crack MAGA's problem with much of the Mexican border (7)
I haven't cracked this one yet — but Fifteensquared have:
Wise guy back to crack MAGA’s problem with much of the Mexican border <crac> K (“back to” means last letter only) + NO WALL (=MAGA’s problem with much of the Mexican border, referring to US politics)
Put back prop holding base (5)
I haven't cracked this one yet — but Fifteensquared have:
Put back prop holding base E (=base, in maths) in REST (=prop, support)
Deep Blue is following the Sicilian opening in Palermo (5)
I haven't cracked this one yet — but Fifteensquared have:
Deep Blue is following the Sicilian opening in Palermo LA (=the Sicilian, i.e. an Italian word for the ) P <alermo> (“opening of” means first letter only) + IS; lapis lazuli, or lapis for short, is a deep-blue metamorphic rock
Type letters or click words in the clue