Across
Unveiling trees, touch fruit with bent cane (5,10)
Jolly boyo, missing football club, depressed (7)
I haven't cracked this one yet — but Fifteensquared have:
FUN CHAPPY (jolly boyo) less FC
A Beginner’s Introduction: Science 101 cancelled for non-attendance (7)
I haven't cracked this one yet — but Fifteensquared have:
A B[eginner] + SCIENCE less CI (101)
Adorn orangutan with stethoscope? (5)
Compound rates I calculate with select elements discounted, using life tables? (9)
I haven't cracked this one yet — but Fifteensquared have:
Anagram of RATES I CALCULATE less the letters of SELECT
Fail to deal with right-wing extremism with a bit of history (9)
Team leader requests you do them (5)
I haven't cracked this one yet — but Fifteensquared have:
T[eam] + ASKS
Chinese coolness coming back around very softly, very cool (5)
I haven't cracked this one yet — but Fifteensquared have:
PP (pianissimo, very quiet) in reverse of YIN (as in Yin and Yang)
Mix up root and rip up dried petals (9)
Provokes ire with artist fabrication (9)
Policeman’s undercover operation (5)
I haven't cracked this one yet — but Fifteensquared have:
Sting (aka Gordon Sumner) was the front man for the band the Police, so a Police-man
Silly people name their belly buttons, sometimes (7)
I haven't cracked this one yet — but Fifteensquared have:
N[ame] + INNIES (inward-pointing navels)
Controversially, Roman wine bar serves nail polish remover (7)
Chaps joined at the hip, later awkwardly embracing the cheerleaders (7,8)
Down
Formalised union with new arrangement in time and space (4-11)
Tries again to run lines, endlessly (7)
I haven't cracked this one yet — but Fifteensquared have:
REHEARSE (run through lines of a play) less its last letter
Dump booze outside of a town in Ireland (9)
I haven't cracked this one yet — but Fifteensquared have:
TIP (dump) + A in PERRY
Groups hiding in photography labs (5)
Fulfilment staff turned up: soldiers in casual shirts (9)
I haven't cracked this one yet — but Fifteensquared have:
Reverse of CANE (staff) + MEN in two Ts (t-shirts)
Dreaded one uprising of a Russian leader (5)
I haven't cracked this one yet — but Fifteensquared have:
Reverse of A TSAR
Poles welcoming musical girl, the likes of Mary Poppins (7)
I haven't cracked this one yet — but Fifteensquared have:
ANNIE (girl in the musical of the same name) in N S
Evil, strange, barbarous, monstrous Lake Constance? (15)
Praise pet that’s barking … to get bite (9)
In Yorkshire, the philosopher’s wedding attire (9)
I haven't cracked this one yet — but Fifteensquared have:
’T + ROUSSEAU, using the often misrepresented Yorkshire trope of definite article reduction
16 fish, about three took flight with some laughter (7)
Roots of Riemann zeta: only minus evens and half + imaginary included – that’s where roots come from! (7)
I haven't cracked this one yet — but Fifteensquared have:
H[alf] I[maginary] in R[iemann] Z[eta] O[nly] M[inus] E[vens]. The surface is referring to the Riemann hypothesis , a famous unsolved problem in mathematics
Tyrannosaurus raised upper leg (5)
Step-sister’s heart put out (5)
Type letters or click words in the clue