Remote, minute place where animals are bred (4)
I believe the answer is:
farm
'place where animals are bred' is the definition.
(animals might be bred on a farm)
'remote minute' is the wordplay.
'remote' becomes 'far' (similar in meaning).
'minute' becomes 'm' (abbreviation).
'far'+'m'='FARM'
(Other definitions for farm that I've seen before include "agricultural business" , "Work the land" , "Agricultural building" , "and 27: Source of meat" , "Ranch" .)