Home dividend halved, double becomes single (10)
I believe the answer is:
individual
'single' is the definition.
('individual' can be a synonym of 'single')
'home dividend halved double' is the wordplay.
'home' becomes 'in' ('he's home' can mean 'he's in').
'halved' means to take half the letters.
'double' becomes 'dual' ('dual' can be a synonym of 'double').
'dividend' with half the letters taken is 'divi'.
'in'+'divi'+'dual'='INDIVIDUAL'
'becomes' is the link.
(Other definitions for individual that I've seen before include "party" , "Peculiar" , "One person" , "single person" , "Singular; distinctive" .)