Answer arrived about Donne's case in scholarly life (7)
I believe the answer is:
'scholarly life' is the definition.
(I've seen this before)
'answer arrived about donne's case' is the wordplay.
'answer' becomes 'a' (abbreviation eg in Q and A).
'arrived' becomes 'came' (coming is a kind of arriving).
'about' indicates putting letters inside.
'case' says to hollow out the word (remove centre letters).
'donne' with its centre taken out is 'de'.
'came' placed around 'de' is 'cademe'.
'in' acts as a link.
(Other definitions for academe that I've seen before include "University environment", "The teaching environment", "universities", "The educational sector", "The world of education".)