Child having unusual dread of cheese (7)
I believe the answer is:
cheddar
'cheese' is the definition.
(cheddar cheese is a kind of cheese)
'child having unusual dread' is the wordplay.
'child' becomes 'ch'.
'having' is a charade indicator (letters next to each other).
'unusual' indicates an anagram.
'dread' anagrammed gives 'eddar'.
'ch'+'eddar'='CHEDDAR'
'of' is the link.
(Other definitions for cheddar that I've seen before include "Firm cheese originally from Somerset" , "Somerset gorge location" , "British product" , "English cheese variety" , "Here one may get to gorge" .)