The most common and most likely answer to this crossword clue is the 6 plus 5 letter word THOMAS WOLFE
I've seen this crossword clue in The Times
T
H
O
M
A
S
W
O
L
F
E
Buddy explains!
The straight part
We know that "Author" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case author = thomas wolfe.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.