A chap takes a sweeper round this part of the house (7)
I believe the answer is:
bedroom
'round this part of the house' is the definition.
'bedroom' can be an answer for 'part' (I have seen 'part of house' mean 'bedroom' so perhaps 'part' could also mean 'bedroom'). I'm not sure about the remainder of the definition.
'a chap takes a sweeper' is the wordplay.
'a chap' becomes 'ed' (short for edward).
'takes' indicates putting letters inside (take can mean to capture or invade).
'a sweeper' becomes 'broom' (I've seen this before).
'ed' placed within 'broom' is 'BEDROOM'.
Can you help me to learn more?
(Other definitions for bedroom that I've seen before include "Retirement chamber" , "Sleeping chamber" , "Boudoir" , "Chamber of repose" , "Chamber for sleep" .)