The most common and most likely answer to this crossword clue is the 6 plus 3 plus 5 letter word BEHIND THE TIMES
I've seen this crossword clue in The Guardian
B
E
H
I
N
D
T
H
E
T
I
M
E
S
More clues leading to the result BEHIND THE TIMES
- Old backing paper
- Old-fashioned bum paper
- Old-fashioned, like Murdoch is, proprietorially
- 9 like 7
- Old-fashioned greeting given in turn daily
- Old-fashioned, as Rupert Murdoch is?
- Rupert Murdoch is old
- Where one reading a newspaper might be old-fashioned
- Not catching up with where the news reader is hidden, perhaps
Buddy explains!

The straight part
We know that "Rupert Murdoch is/old" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case rupert murdoch is/old = behind the times.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.