Reach out to grab theologian's food (7)
I believe the answer is:
cheddar
'food' is the definition.
(cheddar is a kind of food)
'reach out to grab theologian's' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'to grab' indicates putting letters inside.
'theologian' becomes 'dd' (Doctor of Divinity degree).
'reach' with letters rearranged gives 'chear'.
'chear' placed around 'dd' is 'CHEDDAR'.
(Other definitions for cheddar that I've seen before include "Cheese; Somerset town" , "Type of cheese" , "Here one may get to gorge" , "Popular cheese originally from Somerset" , "Kind of cheese" .)