The most common and most likely answer to this crossword clue is the 7 plus 11 letter word GENETIC FINGERPRINT
I've seen this crossword clue in The Guardian
G
E
N
E
T
I
C
F
I
N
G
E
R
P
R
I
N
T
Buddy explains!
The straight part
We know that "personal ID" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case personal id = genetic fingerprint.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.