Across
Frightfully rich rhapsodist and musician (14)
Espionage and assassination in Japan partly his job (5)
Line that could have solved the issue in 1 down (8)
They say Philistine puts on glasses or contact lenses (3,4)
As a localised disease regularly seen by trained medic (7)
I haven't cracked this one yet — but Fifteensquared have:
[ regularly ] (s) E (e) N by *(medic) [anag: trained ]
Deport next spy cell, essentially (5)
I haven't cracked this one yet — but Fifteensquared have:
(n) EX (t) (s) P (y) (c) EL (l) [ essentially ]
Fertiliser covered by offensive will (9)
Difficult age is following obsessive medicine (9)
I haven't cracked this one yet — but Fifteensquared have:
*(age is) [anag: difficult ] following ANAL (“obsessive”)
Badger inconsiderately (5)
Not at home, predator returns for discharge (7)
Listener gets advert for wax, perhaps (7)
Function with therapy in a cushy job (8)
Bond type sarcastic? That’s not right (5)
What covers the 1st and 2nd of 10 as judgment day? (14)
I haven't cracked this one yet — but Fifteensquared have:
EH ? (“what?) covers the 1st and 2nd (letters) of 10dn, so E(SC)H-ATOLOGICAL Eschatological means “relating to death, judgement or the final destiny of the soul” for those who believe in such things (well, I suppose we all believe in death).
Down
Stated reason for sacking a baker? The man had to go! (2,6,1,3)
Corrupt insider without papers becoming clean (5)
Take action and say nothing on potential leakage (5,1,3)
I haven't cracked this one yet — but Fifteensquared have:
SH (“say nothing”) on *(leakage) [anag: potential ]
Rubbish etc about a tavern, place with live music (7)
I haven't cracked this one yet — but Fifteensquared have:
*(etc) [anag: rubbish ] around A + BAR (“tavern”)
Most of New York’s scattered islands not called this by their inhabitants (7)
Challenged father to hold radioactive shell (5)
I haven't cracked this one yet — but Fifteensquared have:
DAD (“father”) to hold R (adioactiv) E [shell]
Among saints, Rome somehow admitted one that’s least clement (9)
I haven't cracked this one yet — but Fifteensquared have:
*(rome) [anag: somehow ] admitted I , among St . and St. (saints), so St-ORM(I)E-St
A Scot awkwardly making sense of the joke in 1 down? (12)
I haven't cracked this one yet — but Fifteensquared have:
*(a scot) [anag:awkwardly] + LOGICAL (“making sense”)
Design isn’t a different version of bananas (9)
I haven't cracked this one yet — but Fifteensquared have:
PLAN (“design”) + *(isnt a) [anag: different ]
Broadcasting about sauté as cooking style (9)
Result of carpentry that’s a feature of some pubs (7)
We shall mature first, as fine wine will do (3,4)
Scrounger and cad heading north having stolen cash to begin with (5)
I haven't cracked this one yet — but Fifteensquared have:
<=HEEL (“cad”, heading north ) having stolen C (ash) [ to begin with ]
Fell in action protecting what speeds up particles (5)
Type letters or click words in the clue