The most common and most likely answer to this crossword clue is the 4 plus 2 plus 4 letter word TAKE AS READ
I've seen this crossword clue in The Times
T
A
K
E
A
S
R
E
A
D
More clues leading to the result TAKE AS READ
Buddy explains!
The straight part
We know that "Assume" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case assume = take as read.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.