She runs house — assume good family’s taken in (10)

'she runs' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.

'house assume good family's taken in' is the wordplay.
'house' becomes 'h'.
'assume' becomes 'odon' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'good' becomes 'g' (abbreviation).
'family's' becomes 'kin's' ('kin' can be a synonym of 'family').
'taken in' indicates putting letters inside.
'g'+'kins'='gkins'
'odon' enclosing 'gkins' is 'odgkinson'.
'h'+'odgkinson'='HODGKINSON'

Can you help me to learn more?