High-flying type has the black dog (9)

'high-flying type has' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.

'black dog' is the wordplay.
I cannot quite understand how this works, but
'black' could be 'jet' (jet black is a kind of black) and 'jet' is located in the answer.
'dog' could be 'setter' (setter is a type of dog) and 'setter' is found in the answer.
This accounts for all the letters.
This explanation may well be incorrect...

'the' is the link.

Can you help me to learn more?