Across
Project I stuck to furiously (5,3)
Darn discomfort caused by exercise? (6)
Method initially introduced to get free ticket (4)
I haven't cracked this one yet — but Times for the Times have:
M{ethod} [initially] contained by [introduced to] COP (get). Collins has this example of cop meaning get: ‘You’ll cop a clout if you do that’. ‘Comp’, short for complimentary, is slang for something that’s provided free of charge.
Husband stupidly cheating claims love is intense (4-6)
Training on F1 track, wearing extremely expensive footwear (10)
I haven't cracked this one yet — but Times for the Times have:
SPA (F1 track) + DRILL (training) contained by [wearing] E{xpensiv}E [extremely]. Google informs me that the Belgian Formula 1 Grand Prix is held on the Circuit de Spa-Francorchamps, but fortunately I didn’t need to know that to spot the answer.
Cross threshold on the way back (4)
Continue leading cheers at home (8)
Encourage female not to lose face when interrupted by guys (6)
I haven't cracked this one yet — but Times for the Times have:
F (female), {n}OT [to lose face] containing [interrupted by] MEN (guys). ‘Foment’ is often used in the context of encouraging discontent and even revolution.
Starts to seem highly engrossed by Eastern faith (6)
I haven't cracked this one yet — but Times for the Times have:
S{eem} + H{ighly} [starts to…], INTO (engrossed by)
Welshman acquires rigging equipment from Scotland perhaps (8)
Small, standard box? (4)
Travelling pretty far to take in a later, exclusive event (5-5)
Apiarists haphazardly grabbing top of dying plant (10)
I haven't cracked this one yet — but Times for the Times have:
Anagram [haphazardly] of APIARISTS containing [grabbing] D{ying} [top of…]. Gracie Fields sang about the biggest one in the world, and George Orwell wrote about keeping one flying.
Definitely somewhat still able to win (2,2)
Prohibition all but ended? Correct! (4,2)
Means of identifying bugs cracked by social media firm (4,4)
Down
Basis of philosophy exists with every single PM (9)
Senior footballer better practise with no end of vigour (7)
I haven't cracked this one yet — but Times for the Times have:
CAP (better), T{r}AIN (practise) [with no end of vigour]
Different source that has given away millions (5)
I haven't cracked this one yet — but Times for the Times have:
{m}OTHER (source) [that has given away millions]. As in necessity being the mother of invention.
Animal found in middle of mountains, say (3)
Person finally sick of dancing with a partner? (6,3)
I haven't cracked this one yet — but Times for the Times have:
Anagram [dancing] of PERSON {sic}K [finally] OF
Temporary current running through place underground close to dam (7)
I haven't cracked this one yet — but Times for the Times have:
I (current) contained by [running through} INTER (place underground – bury) + {da}M [close to…]
Company taking over empty neighbourhood building in LA (5)
I haven't cracked this one yet — but Times for the Times have:
CO (company) containing [taking] O (over) + N{eighbourhoo}D [empty]. ‘In LA’ just indicates America.
Liberal German certainly not upset to be featured in warrant (7)
I haven't cracked this one yet — but Times for the Times have:
NEIN (German certainly not – no!) reversed [upset] contained by [to be featured in] LET (warrant – permit)
Love helping to support a party (9)
New person left out? It almost happens! (4,5)
Manage to be upstanding and celebrate work in the NHS? (7)
I haven't cracked this one yet — but Times for the Times have:
RUN (manage) reversed [to be upstanding], SING (celebrate). Nursing is work in the NHS.
Musician's track mostly introduces a new one (7)
I haven't cracked this one yet — but Times for the Times have:
PIST{e} (track) [mostly] contains [introduces] A + N (new) + I (one)
At first, pet Alsatian regularly rejected carb-heavy food (5)
I haven't cracked this one yet — but Times for the Times have:
P{et} [at first], A{l}S{a}T{i}A{n} [regularly rejected]
Many papers covering large area of study (5)
Heavy weight cask picked up (3)
I haven't cracked this one yet — but Times for the Times have:
Aural wordplay [picked up] TON / “tun” (cask)
Type letters or click words in the clue