Cryptic crossword No 3,761

Across

1. Cleopatra's killer poses topless holding last of torch lilies (9)
2. Arab shaved in shower (4)
3. Remarkably eager to get on (5)
4. Trade venture on river (8)
5. Each old city with case of tuberculosis gets upset (7)
6. Friend returned article following letter from Greece (5)
7. Ferreted sporadically without charge (4)
8. Stepwise crossing (7)
9. Thought of assistant from start to finish (4)
10. Lame donkey, perhaps (4)
11. Sailor grasps more than one butt (7)
12. Stimulating as in beer? (7)
13. German sent back: worth altering further development (8)
14. Daughter finishing wine when eating a bit of food (5)
15. Accepted odd alien developing nasal style of speech (9)

Down

1. After brief period hide when undressed becoming shy (5)
2. Indian city managed to involve institute concerned with land distribution (8)
3. Charge can be our treat (4)
4. Manhattan DJ in podcast folds poem up (6)
5. Worker with angina seen moribund finally (4)
6. Series starts to captivate Harry airing intermittent nudity (5)
7. While antenatal exhausted husband takes on thug (8)
8. Characters from Detroit, if far gone, lifted wall paintings (8)
9. Five riding Chicago railroad with check material (6)
10. Railways regularly subject to cancellation unfortunately (4)
11. Gwen getting tangled under airbed in capital (8)
12. Timeless melody upon rough sea causing apprehension (6)
13. Multi-faith academy claiming Penelope's home (6)
14. Pictured predatory criminal (9)
15. Aristo nearly saving skin (4)