The most common and most likely answer to this crossword clue is the 6 plus 8 letter word OBJECT LANGUAGE
O
B
J
E
C
T
L
A
N
G
U
A
G
E
Buddy explains!
The straight part
We know that "computers use to communicate with each other" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case computers use to communicate with each other = object language.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.