The most common and most likely answer to this crossword clue is the 3 plus 3 plus 3 plus 5 letter word HOT OFF THE PRESS
I've seen this crossword clue in Financial Times
H
O
T
O
F
F
T
H
E
P
R
E
S
S
More clues leading to the result HOT OFF THE PRESS
Buddy explains!
The straight part
We know that "Of tabloid papers for starters, those fresh out will be this" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case of tabloid papers for starters, those fresh out will be this = hot off the press.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.