Across
Trying person in party may be doing so (6,1,4)
I haven't cracked this one yet — but Fifteensquared have:
definition: to 'have a bash' at something is to give it a try BASH="party", so HAVING A BASH may be something a person at a party is doing
African rodent, squealer with dark patch in front (4,3)
Go miles abroad for source of fine porcelain (7)
Demand turning up, it's overdue (9)
Climate activist's share of meagre takings (5)
Initial clue (4)
Greeting from hotspot, with further line conclusively appended (5,5)
I haven't cracked this one yet — but Fifteensquared have:
HELL="hotspot" with OTHER="further" and lin-E appended
Care I'd taken in Cannes and thereabouts (10)
I haven't cracked this one yet — but Fifteensquared have:
I'D inside PROVENCE=region of France="Cannes and thereabouts"
Bet it's a boat! (wordplay terrible at first) (4)
Rascal's trick piano (5)
Torches moving abeam in uncertain motion (9)
I haven't cracked this one yet — but Fifteensquared have:
anagram/"moving" of (abeam)* inside FLUX="uncertain motion"
Level of public transport with more up front? (7)
Plot in bay surrounding retro pub (7)
I haven't cracked this one yet — but Fifteensquared have:
COVE="bay" around reversal/"retro" of INN="pub"
Parents manage to crush one's spirit (7,4)
I haven't cracked this one yet — but Fifteensquared have:
MOTHERS="Parents" + RUN="manage" around I="one"
Down
Bowling legend with ball in sort of window demanding concessions (7,2,6)
I haven't cracked this one yet — but Fifteensquared have:
Holding="Bowling legend" plus O="ball" inside TRANSOM="sort of window" Michael Holding [wiki] was a famous pace bowler for the West Indies cricket team
Upset about rivals displaying fine artworks (5)
Donkey to value fertiliser (7)
Medicinal plant, originally at £50 topping list, we're told (7)
I haven't cracked this one yet — but Fifteensquared have:
definition: a name applied to a number of herbs used as medicine A-t, plus L (libra, pound, "£") plus L="50" in Roman numerals, plus HEAL which sounds/"we're told" like 'heel'=to lean to one side="list"
Almost everyone could ultimately slay giant (8)
I haven't cracked this one yet — but Fifteensquared have:
definition: 'almighty' as an adjective as in 'an almighty coincidence' AL-[L]="Almost everyone" + MIGHT="could" + sla-Y
Advanced instruction from Red China toughie garbled (6,9)
Diverts rising waters, skirting problem (6)
I haven't cracked this one yet — but Fifteensquared have:
reversal/"rising" of all of: SEA="waters" around SUM="problem"
Take off enormous unlined cloak (6)
I haven't cracked this one yet — but Fifteensquared have:
E-normou-S without its insides/"unlined", plus CAPE="cloak"
'Setter in mile race' (now proverbial Guardian feature?) (8)
I haven't cracked this one yet — but Fifteensquared have:
I="Setter" in M (mile) + SPRINT="race"
Go on through, with prior authorisation (4,2)
Apply in French on behalf of church … (7)
… part of church cut off on Sunday, creating opportunities (7)
Revenue staff, no more than half score, Spooner says (6)
I haven't cracked this one yet — but Fifteensquared have:
Spoonerism of 'max ten'="no more than half score", with a "score" meaning 'twenty'
Anti-labour slogan in this sub-Saharan speech? (5)
Type letters or click words in the clue
