The most common and most likely answer to this crossword clue is the 7 letter word TITLARK
T
I
T
L
A
R
K
More clues leading to the result TITLARK
Buddy explains!

The straight part
We know that "One flying" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case one flying = titlark.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.
What does TITLARK mean?
TITLARK noun- Anthus pratensis, the meadow pipit, a songbird.