Traditional musician's fiddle enthralling ol' Kansas (4,6)
I believe the answer is:
folk singer
'traditional musician's' is the definition.
'folk singer' can be an answer for 'musician's' (folk singer is a kind of musician). I'm not certain of the 'traditional' bit.
'fiddle enthralling ol' kansas' is the wordplay.
'fiddle' becomes 'finger' (I can't justify this - if you can you should believe this answer much more).
'enthralling' is an insertion indicator.
'kansas' becomes 'ks'.
'ol'+'ks'='olks'
'finger' placed around 'olks' is 'FOLK SINGER'.
Can you help me to learn more?
(Another definition for folk singer that I've seen is " Traditional entertainer".)