Obsessive personality playing English song dug out for the audience (3-5,4)

I believe the answer is:
one-track mind
'playing english song dug out for the audience' is the definition.
I don't know anything about this answer so I can't tell whether it can be defined by this definition.
'obsessive personality' is the wordplay.
'obsessive' becomes 'one track' (I've seen this before).
'personality' becomes 'mind' (mind can mean someone's personality).
'onetrack'+'mind'='ONE-TRACK MIND'
Can you help me to learn more?
(Other definitions for one-track mind that I've seen before include "Brain that's singularly obsessed" , "Brain preoccupied with a single subject" , "A very limited thinker?" , "Very basic obsession?" , "Obsessive attitude to a subject" .)
