Singer producing false note? Right! (5)
I believe the answer is:
tenor
'singer' is the definition.
(I know that tenor is a type of singer)
'false note? right' is the wordplay.
'false' is an anagram indicator.
'right' becomes 'r' (common abbreviation).
'note' anagrammed gives 'teno'.
'teno'+'r'='TENOR'
'producing' is the link.
(Other definitions for tenor that I've seen before include "General meaning of an utterance" , "Caruso or Domingo" , "Big bell" , "Meaning - male singing voice" , "General course - male singer" .)