The most common and most likely answer to this crossword clue is the 7 plus 1 plus 5 letter word PRETEND - PREEN
I've seen this crossword clue in The Times
P
R
E
T
E
N
D
-
P
R
E
E
N
Buddy explains!

The straight part
We know that "Fake" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fake = pretend - preen.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.