Nuisance having zero sauce (5)
I believe the answer is:
pesto
'sauce' is the definition.
(pesto is a type of sauce)
'nuisance having zero' is the wordplay.
'nuisance' becomes 'pest' (I've seen this before).
'having' is a charade indicator (letters next to each other).
'zero' becomes 'O' (O resembles 0).
'pest'+'o'='PESTO'
(Other definitions for pesto that I've seen before include "Ligurian food" , "Basil-based sauce" , "Pasta sauce variety" , "Sauce of basil, pine nuts, etc" , "Green sauce" .)