Figure nothing's right for a singer (5)
I believe the answer is:
tenor
'for a singer' is the definition.
(tenor is a kind of singer)
'figure nothing's right' is the wordplay.
'figure' becomes 'ten' (ten is a number or figure).
'nothing' becomes 'O' (looks like zero - 0).
'right' becomes 'r' (common abbreviation).
'ten'+'o'+'r'='TENOR'
(Other definitions for tenor that I've seen before include "General meaning of an utterance" , "Placido Domingo, say" , "General drift or meaning" , "Purport" , "thread" .)