Cold house - one originally refurbished for group of singers (5)
I believe the answer is:
choir
'group of singers' is the definition.
(a choir is a singing group)
'cold house one originally refurbished' is the wordplay.
'cold' becomes 'C' (eg on taps).
'house' becomes 'ho' (abbreviation for house).
'one' becomes 'i' (Roman numeral).
'originally' indicates taking the first letters.
The initial letter of 'refurbished' is 'r'.
'c'+'ho'+'i'+'r'='CHOIR'
'for' is the link.
(Other definitions for choir that I've seen before include "Vocal group" , "Band of singers" , "Chorus in church" , "They sing" , "Vocalists in group" .)