The most common and most likely answer to this crossword clue is the 6 plus 9 letter word SPIRAL STAIRCASE
I've seen this crossword clue in The Sunday Telegraph
S
P
I
R
A
L
S
T
A
I
R
C
A
S
E
More clues leading to the result SPIRAL STAIRCASE
- One ascending by twisted means will aggravate a satirical press
- The way someone may get ‘screwed up’?
- It helps one get up and about
- Circuitous flight?
- Flying classes, air trip and a flight
- Flight of rocket with this person wearing space body suit
- Rocket heading for asteroid in what could be scariest flight
- Stars’ special air force in flight
- Flight with many turnings carries Lisa past bum
- One way to ascend Triassic-era Alps unravelled
Buddy explains!
The straight part
We know that "Dizzying flight" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case dizzying flight = spiral staircase.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.