The 'big house' familiar to the local police (5)
I believe the answer is:
manor
'the big house' is the definition.
(large home)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for manor that I've seen before include "house on estate" , "lord's home" , "Lord's estate" , "Police district (slang)" , "Large country house for Roman" .)