The most common and most likely answer to this crossword clue is the 14 letter word ANTIPERSPIRANT
I've seen this crossword clue in Financial Times
A
N
T
I
P
E
R
S
P
I
R
A
N
T
More clues leading to the result ANTIPERSPIRANT
Buddy explains!
The straight part
We know that "It may be enough to make someone dry up" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case it may be enough to make someone dry up = antiperspirant.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 ANTIPERSPIRANT mean?
ANTIPERSPIRANT noun- A substance used to minimize sweating or perspiration, and usually applied to the underarm area.