The most common and most likely answer to this crossword clue is the 9 plus 6 letter word PEREGRINE FALCON
I've seen this crossword clue in Independent
P
E
R
E
G
R
I
N
E
F
A
L
C
O
N
More clues leading to the result PEREGRINE FALCON
- Training on rifle-range, shot blue bird
- Replacing of erne, changed for bird of prey
- Replacing of erne that's taken out faster bird of prey
- Jerks on rifle-range shot blue bird
- Dad in Paris prepared for cleaning bird
- Evita’s touring cast feel caring, delivering flyer
- High-flier referencing pal, tired and emotional, clutching Oscar
- In stir prefer ‘genial’ criminal for bird
- Bird given long peer with fancier excited
- Hit green in place for birdie
Buddy explains!

The straight part
We know that "flyer" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case flyer = peregrine falcon.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.