Famously musical arts given backing by many a head of state (6)
I believe the answer is:
strads
'famously musical' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.
'arts given backing by many a head of state' is the wordplay.
'given backing' says the letters should be written backwards.
'by' is a charade indicator (letters next to each other).
'many' becomes 'd'.
'a head of' indicates taking the first letters.
The first letter of 'state' is 's'.
'arts' back-to-front is 'stra'.
'stra'+'d'+'s'='STRADS'
Can you help me to learn more?
(Another definition for strads that I've seen is " instruments from Cremona".)