Articles digested by obsessive animal minder (8)
I believe the answer is:
neatherd
'animal minder' is the definition.
(someone who looks after cows)
'articles digested by obsessive' is the wordplay.
'articles' becomes 'a the' ('a' and 'the', indefinite and definite articles).
'digested by' is an insertion indicator.
'obsessive' becomes 'nerd' (nerd can mean an obsessive).
'athe' going inside 'nerd' is 'NEATHERD'.
(Another definition for neatherd that I've seen is " Drover".)
I've seen this clue in The Times.
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