Note connection to prison (5)
I believe the answer is:
clink
'to prison' is the definition.
(the clink can informally mean prison)
'note connection' is the wordplay.
'note' becomes 'c' (musical note).
'connection' becomes 'link' (synonyms).
'c'+'link'='CLINK'
(Other definitions for clink that I've seen before include "1 ac [COOLER]" , "jug" , "Sound made when hitting glass" , "Prison - knock glasses together" , "Old London prison" .)