Across
Spicy sauce in vessel at university (7)
Trendy youngsters torn apart by start of unnerving nightmare (7)
I haven't cracked this one yet — but Times for the Times have:
IN (trendy), CUBS (youngsters) containing [torn apart by] U{nnerving} [start]. Remembered from many a previous puzzle.
Stop luxury car hemming in a road-mending vehicle (11)
I haven't cracked this one yet — but Times for the Times have:
STEM (stop) + ROLLER (luxury car – Rolls Royce) containing [hemming in] A
Teacher, possibly, avoiding time in jail (3)
I haven't cracked this one yet — but Times for the Times have:
S{t}IR (time in jail) [avoiding time]
Insect heading off close to rug (6)
Supporter male chancellor ultimately required during a depression (8)
I haven't cracked this one yet — but Times for the Times have:
HE (male) + {chancello}R [ultimately] contained by [during) A + DENT (depression)
Alluring old PM, the centre of attraction (8,5)
Eccentric newlywed glum about key varsity sportsman (9,4)
I haven't cracked this one yet — but Times for the Times have:
CAM (eccentric), then BRIDE (newlywed) + BLUE (glum) containing [about] G (key). This was almost biffable with assistance from enumeration but having been beaten on my last blogging day by ‘eccentric / CAM’ I was onto the wordplay immediately.
Attorney framing European legislation concerning US state (8)
I haven't cracked this one yet — but Times for the Times have:
DA (District Attorney) containing [framing] E (European) + LAW (legislation), then RE (concerning)
Continental resort in island by border (6)
Low state of mind daughter's thrown off (3)
I haven't cracked this one yet — but Times for the Times have:
MOO{d} (state of mind) [daughter’s thrown off]
Predatory reptile in cold air swimming without company (11)
Researcher originally assisting lab in some way (7)
I haven't cracked this one yet — but Times for the Times have:
A{ssisting} + L{a b} [originally] contained by [in] ANY (some) + ST (way – street)
Angry about name attached to a religious painting (7)
Down
Fate one's suffered supporting king (6)
I haven't cracked this one yet — but Times for the Times have:
K (King), I’S (one’s), MET (suffered). I was a bit dubious about ‘suffered / MET’ but SOED has meet – encounter, experience, suffer (one’s death, a certain fate or treatment, etc). There is a musical called Kismet based on music by Borodin.
Formula in geometry maybe or English grasped by other people (7)
I haven't cracked this one yet — but Times for the Times have:
OR + E (English) contained [grasped] by THEM (other people)
Married woman beset by need for food, an excellent person (9)
I haven't cracked this one yet — but Times for the Times have:
M (married) + DI (woman) contained [beset] by HUNGER (need for food)
Share game on table (4)
Youth taken in by devil is terribly misguided (3-7)
Cut up roast, initially restricted by word of warning (5)
I haven't cracked this one yet — but Times for the Times have:
R{oast} [initially] contained [restricted] by CAVE (word of warning). ‘Cave’ is from the Latin ‘cavere’ meaning ‘beware’, and ‘keep cave’ was very much part of schoolboy slang at one time meaning to look out for approaching masters.
Blacken name of woman in pub (7)
Sentence on introduction of yellow elastic (8)
Offer pay for US novice (10)
Cancelled in full, sadly, by current newspaper boss (9)
I haven't cracked this one yet — but Times for the Times have:
Anagram [sadly] of IN FULL, then I (current), ED (newspaper boss)
A rebel with intent, rising in scholarly circles (8)
State of gang girl cut down at Kent port, do we hear? (7)
Linguistic device sound on reflection: large one included (7)
I haven't cracked this one yet — but Times for the Times have:
L (large) + I (one) contained by [included] NOISE (sound) all reversed [on reflection]
After struggle, a stricken man finally raised capital (6)
I haven't cracked this one yet — but Times for the Times have:
VIE (struggle), then A + {stricke}N + {ma}N [finally] reversed [raised]
Crazy procedure to seal ends of cask (5)
I haven't cracked this one yet — but Times for the Times have:
WAY (procedure) contains [to seal} C{as}K [ends]
Voice disapproval of Mike's resonant delivery? (4)
Type letters or click words in the clue