At home nurse becomes mean (6)
I believe the answer is:
intend
'mean' is the definition.
('intend' can be a synonym of 'mean')
'at home nurse' is the wordplay.
'at' is a charade indicator (letters next to each other).
'home' becomes 'in' ('he's home' can mean 'he's in'**).
'nurse' becomes 'tend' (I've seen this before).
'in' put next to 'tend' is 'INTEND'.
'becomes' is the link.
(Other definitions for intend that I've seen before include "Mean; propose" , "Have as purpose or resolve" , "Purport" , "Plan, propose" , "Have as one's plan" .)