Knowledgeable Oriental theologian getting to grips with acute problem (8)
I believe the answer is:
educated
'knowledgeable' is the definition.
('educated' can be similar in meaning to 'knowledgeable')
'oriental theologian getting to grips with acute problem' is the wordplay.
'oriental' becomes 'e'.
'theologian' becomes 'dd' (Doctor of Divinity degree).
'getting to grips with' is an insertion indicator.
'problem' indicates anagramming the letters.
'acute' is an anagram of 'ucate'.
'dd' placed around 'ucate' is 'ducated'.
'e'+'ducated'='EDUCATED'
(Other definitions for educated that I've seen before include "Cultivated, knowledgeable" , "Schooled, enlightened" , "Well-read" , "Enlightened, knowledgeable" , "Having completed schooling, well informed" .)