See about home floor covering (4)
I believe the answer is:
lino
'floor covering' is the definition.
(short for linoleum)
'see about home' is the wordplay.
'see' becomes 'lo' ('lo' is an archaic exclamation meaning 'look!').
'about' indicates putting letters inside.
'home' becomes 'in' ('he's home' can mean 'he's in').
'lo' going around 'in' is 'LINO'.
(Other definitions for lino that I've seen before include "'Floor covering, in short (4)'" , "Tough floor covering" , "put this down?" , "Floor covering (abbr)" .)