Joanna has quiet man round (5)
I believe the answer is:
piano
'joanna' is the definition.
(cockney rhyming slang for piano)
'quiet man round' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'man' becomes 'ian' (man's name).
'round' becomes 'o' (round can mean a round object).
'p'+'ian'+'o'='PIANO'
'has' is the link.
(Other definitions for piano that I've seen before include "Stringed instrument - to be played quietly" , "soft passage" , "p (mus.)" , "Musical instrument - play quietly" , "one of 6 [STEINWAYS]" .)