Across
Call again, ringing yours truly, offering treatment (8)
Copper lining for one doctor's piece of kitchenware (6)
Weight lifter to take girl's breath away (8)
What's after May first and second in Cuban capital city (6)
I haven't cracked this one yet — but Times for the Times have:
JUNE (what’s after May) A (first) + (and) second letter of (in) CUBAN The capital city of Alaska.
Still having work briefly, English leftie's unlikely to lose it (4-8)
Ancient tribe back home to the east of rocks (5)
I haven't cracked this one yet — but Times for the Times have:
reversal of (back) IN (home) after (to the east of) ICE (rocks) A chestnut tribe around these parts.
Person offering drive in car accepting current tax (9)
I haven't cracked this one yet — but Times for the Times have:
MOTOR (car) around (accepting) I (current) VAT (tax) Didn’t know ‘motor’ as a noun meaning CAR, but this was easy enough.
Irish fare well finally after firm shot (9)
I haven't cracked this one yet — but Times for the Times have:
last letter of (finally) WELL after CO (firm) + CANNON (shot)
Said why Heather's clothing is not straight (5)
I haven't cracked this one yet — but Times for the Times have:
LING (heather) around (‘s clothing) homophone of (said) WHY
Getting better drinks, Charlie enters sister's home (12)
I haven't cracked this one yet — but Times for the Times have:
ALES (drinks) C (Charlie) in (enters) CONVENT (sister’s home) I was looking for PRIORY to make an appearance here.
Group of drivers checking vehicle's lack of coordination (6)
Note slipped inside gift for master (8)
What Senor and Senora should have listed differently (6)
I haven't cracked this one yet — but Times for the Times have:
anagram of (differently) LISTED
Leading American male's going to cycle from Germany (8)
Down
Gold turned up by characters regularly in Swiss banks (4)
I haven't cracked this one yet — but Times for the Times have:
OR (gold) reversed (turned up) + (by) every other letter (characters regularly) in SWISS
Queen, say, getting kiss from Douglas? (4)
I haven't cracked this one yet — but Times for the Times have:
MAN (queen, say [in chess [ironically]]) + (getting) X (kiss) Douglas is the capital of the Isle of Man. (I’m sure you all know this!)
Fruit coated in flipping dry, old batter (9)
I haven't cracked this one yet — but Times for the Times have:
OLIVE (fruit) in (coated in) reversal of (flipping) ARID (dry) One must remember that the Times puzzle does not clue apostrophes in answers.
Put in post before protest, a teacher goes round lost in thought (6-6)
Good cut of meat is beef (5)
Voter wanting reform in China, possibly a little ruminant (10)
Case of professional too young for sacking (10)
Unlikely to give up precautions, I suspect (12)
What involves spells in tungsten-tipped long vessel (10)
I haven't cracked this one yet — but Times for the Times have:
ITCH (long) CRAFT (vessel) with W (tungsten) on top (-tipped)
Philosopher with rule about large historical division (6,4)
Climber securing a fast time is the object of admiration (9)
I haven't cracked this one yet — but Times for the Times have:
VINE (climber) around (securing) A + LENT (fast time) How timely.
I mean to travel around diversion in the east (5)
Christmas visitors, perhaps 13 but not 100? (4)
I haven't cracked this one yet — but Times for the Times have:
MAGIC (perhaps 13 [WITCHCRAFT]) – (but not) C (100)
Titanic problem for composer (4)
Type letters or click words in the clue