Fellow in this place not starting to eat rare cheese (7)
I believe the answer is:
gruyere
'cheese' is the definition.
(Gruyere is an example)
'fellow in this place not starting to eat rare' is the wordplay.
'fellow' becomes 'guy' (I've seen this before).
'in this place' becomes 'here' (synonyms).
'not starting' means to remove the first letter.
'to eat' means one lot of letters goes inside another.
'rare' becomes 'r' (listed by Oxford Dictionary of Abbreviations).
'here' with its initial letter taken off is 'ere'.
'guy'+'ere'='guyere'
'guyere' going around 'r' is 'GRUYERE'.
(Other definitions for gruyere that I've seen before include "Firm Swiss cheese" , "Type of Swiss cheese" , "Cheese of Swiss origin" , "Tangy cheese" , "Whole-milk holey cheese" .)