The singers had wobbly notes right through (6)
I believe the answer is:
tenors
'the singers' is the definition.
(tenor is a singing voice)
'wobbly notes right through' is the wordplay.
I cannot really see how this works, but
'right' could be 'r' (common abbreviation) and 'r' is present in the answer.
an anagram of 'notes' is 'tenos' which is within the remaining letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
'had' acts as a link.
Can you help me to learn more?
(Other definitions for tenors that I've seen before include "Male singing voices" , "Opera singers" , "Male singers with high register" , "Male singers from Reston" .)