Day at home that's smooth and silky (5)
I believe the answer is:
satin
'smooth and silky' is the definition.
(I've seen this before)
'day at home' is the wordplay.
'day' becomes 'sat' (abbreviation for Saturday).
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'sat'+'in'='SATIN'
'that's' acts as a link.
(Other definitions for satin that I've seen before include "Smooth glossy fabric" , "Stain found in cloth" , "Stain on shiny cloth" , "Lustrous fabric" , "Shiny solk" .)