The most common and most likely answer to this crossword clue is the 6 plus 7 letter word GOSSIP COLUMNS
I've seen this crossword clue in The Sunday Telegraph
G
O
S
S
I
P
C
O
L
U
M
N
S
Buddy explains!
The straight part
We know that "Published accounts that are hardly creditworthy?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case published accounts that are hardly creditworthy? = gossip columns.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.