Each lecturer scratching head, frantic, seething (10)
I believe the answer is:
apoplectic
'seething' is the definition.
'each lecturer scratching head frantic' is the wordplay.
'each' becomes 'apop' (eg 'one pound a pop' can mean 'one pound each').
'lecturer' becomes 'l' (abbreviation for lecturer).
'scratching head' means to remove the first letter (the word\'s head is removed).
'frantic' becomes 'hectic' (I've seen this before).
'hectic' with its initial letter taken off is 'ectic'.
'apop'+'l'+'ectic'='APOPLECTIC'
(Other definitions for apoplectic that I've seen before include "Overcome with anger" , "With red vision" , "Seeing red" , "Outraged" .)