Thanks for these, imagcq.
Here is my stab at them.
1) Went down holding end of besom I stuck in leg, couldn't stand (10)- Abominate?
Abate is “went down”, with end of besom – m and I placed in “on” – cricket term for “leg”?
2) Calm after couple in front leaves complaint (7)- Illness?
“Stillness”- calm, without “couple in front”- first two letters- is “Illness”- a complaint.
3) Boil nutrient dirty article to be removed (9)- Carbuncle?
Nutrient – carb, with “unclean” – dirty, without “an” (article removed) gives “carbuncle” – a boil?
4) Schools dropping one dead language keeping old English version of Homer (11)- Translation?
Schools- “trains”, dropping one is “trans”. Dead language – “Latin” holding o – old is “lation”. “Translation” is an English version of Homer?
This gives AEISCETN and although it could be an anagram “I can’t see”, I’ll hazard a guess at CINEASTE?
Thanks again.
AB