Volume of noise - mind out! (9)
I believe the answer is:
dimension
'volume' is the definition.
(thesaurus)
'noise mind out' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'noise'+'mind'='noisemind'
'noisemind' is an anagram of 'DIMENSION'.
'of' is the link.
(Other definitions for dimension that I've seen before include "Proportion" , "Length or breadth, say" , "size" , "measure" .)