The most common and most likely answer to this crossword clue is the 2 plus 3 plus 4 plus 2 plus 1 plus 3 letter word AT THE DROP OF A HAT
I've seen this crossword clue in Independent
A
T
T
H
E
D
R
O
P
O
F
A
H
A
T
More clues leading to the result AT THE DROP OF A HAT
- Where boater may go down instantly?
- How a race might have started, with all speed
- Father had potato messily and without thinking
- Hothead atop raft capsized immediately
- When capital protection falls off, it’s sudden
- Footpath at source of river – head off immediately
- As a bowler’s jettisoned with little justification?
- Father had potato cooked just like that
- That poor fathead beaten up without provocation
- When a bowler’s left out without hesitation?
Buddy explains!

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.