The most common and most likely answer to this crossword clue is the 6 plus 2 plus 4 letter word TISSUE OF LIES
I've seen this crossword clue in The Guardian
T
I
S
S
U
E
O
F
L
I
E
S
Buddy explains!
The straight part
We know that "can’t believe it" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case can’t believe it = tissue of lies.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.