The most common and most likely answer to this crossword clue is the 12 letter word TELEGRAPHESE
I've seen this crossword clue in The Times
T
E
L
E
G
R
A
P
H
E
S
E
Buddy explains!
The straight part
We know that "minimalist language" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case minimalist language = telegraphese.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.
What does TELEGRAPHESE mean?
TELEGRAPHESE noun- The terse, abbreviated writing style used in or as used in telegraph messages; speech that resembles this.