Relative’s name inscribed in gold band (6)
I believe the answer is:
auntie
'relative's' is the definition.
(auntie is a kind of relative)
'name inscribed in gold band' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'inscribed in' indicates putting letters inside.
'gold' becomes 'Au' (Au is the chemical symbol for gold).
'band' becomes 'tie' (a strip or band of material).
'au'+'tie'='autie'
'n' inserted within 'autie' is 'AUNTIE'.
(Other definitions for auntie that I've seen before include "Female relative" , "BBC's nickname" , "Unite a strange family member" , "BBC nickname" , "BBC; relative (colloq,)" .)