The most common and most likely answer to this crossword clue is the 10 letter word ENCRYPTION
I've seen this crossword clue in The Guardian
E
N
C
R
Y
P
T
I
O
N
More clues leading to the result ENCRYPTION
Buddy explains!

The straight part
We know that "Secrecy measure" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case secrecy measure = encryption.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 ENCRYPTION mean?
ENCRYPTION noun- The process of obscuring information to make it unreadable without special knowledge, key files, or passwords.
- A ciphertext, a cryptogram, an encrypted value. Usually used with the preposition "of" followed by the value that is hidden in it.