Instrument shaken roughly about, mine inspiring ridicule primarily (10)
I believe the answer is:
tambourine
'instrument shaken' is the definition.
(you shake a tambourine to play it)
'roughly about mine inspiring ridicule primarily' is the wordplay.
'roughly' indicates an anagram.
'inspiring' means one lot of letters goes inside another.
'primarily' says to take the initial letters.
The initial letter of 'ridicule' is 'r'.
'about'+'mine'='aboutmine'
'aboutmine' anagrammed gives 'tambouine'.
'tambouine' enclosing 'r' is 'TAMBOURINE'.
(Other definitions for tambourine that I've seen before include "Percussion instrument" , "drum" , "One uses jingles" , "Shaken instrument" .)