Across
Press opportunity to move over European statesman (4,10)
Observe daughter pressure nobleman for gem (4,5)
Friend's gone — I'm back inside (5)
I haven't cracked this one yet — but Times for the Times have:
I’M reversed [back] and contained by [in] AGO (gone)
Something very good seen back in Dudley Zoo days (5)
Trembling, as in plume fern (9)
Remaining exam taken again — with the time cut — in two parts (8)
Composer's live recording originally taking place in large city (6)
I haven't cracked this one yet — but Times for the Times have:
BE (live) + R{ecording} [originally] contained by [taking place in] WEN (large city). ‘The Great Wen’ is a disparaging nickname for London. The term was coined in the 1820s by William Cobbett, a radical pamphleteer and champion of rural England [Wiki]. Webern is a composer most definitely not represented in my music collection.
Calm grew outside European Parliament (6)
First item of news on the radio? (8)
I haven't cracked this one yet — but Times for the Times have:
N{ews} [first item of…] = NOVEMBER (on the radio). &lit. ‘On the radio’ more usually indicates a homophone but on this occasion it refers to the International Radiotelephony Spelling Alphabet, otherwise known as the NATO phonetic alphabet.
An African country with a youth backing religious leader (5,4)
I haven't cracked this one yet — but Times for the Times have:
A (an) + MALI (African country) + A + LAD (youth) all reversed [backing]
Letter removing tons from disgrace (5)
I haven't cracked this one yet — but Times for the Times have:
S{t}IGMA (disgrace) [removing tons – t]
Bottle just about right to be knocked back? (5)
I haven't cracked this one yet — but Times for the Times have:
EVEN (just) containing [about] R (right) reversed [to be knocked back]
Harassed following force when protected by rocky citadel (9)
Idea about funny cat album is moving when not self-aware (14)
Down
Trendy drink reported in business — this can affect markets (7,7)
United States under old tyrant is oppressive (7)
Parking in cover having a lot of small trees (5)
A fish together with a fish jelly (4-4)
Cutting about a hard religious leader (6)
Queen in shot with heads of Europe's nobles and even Maggie, for one? (9)
I haven't cracked this one yet — but Times for the Times have:
ER (Queen) contained by [in] LEAD (shot) + E{urope’s} + N{obles} + E{ven}. ‘The Blessed Margaret’ as Sir Norman St John Stevas used to refer to her.
What's found in central Bolivia — one new mineral (7)
I haven't cracked this one yet — but Times for the Times have:
{b}OLIVI{a} +{o}N{e} + {n}E{w} [central]
Ordinary coarse fish dive around men (6-2-6)
Protestor to criticise distinctive TV feature (9)
United pea and tofu in blending soup (3-2-3)
Washed-out end to our month in Italian city (7)
I haven't cracked this one yet — but Times for the Times have:
PALE (washed-out), {ou}R [end], MO (month)
Rod's in bar with one car designer (7)
Chap hugging in the manner of greeting (6)
I haven't cracked this one yet — but Times for the Times have:
SAM (random chap) containing [hugging] A LA (in the manner of – French)
Period of mourning for god (5)
Type letters or click words in the clue