The most common and most likely answer to this crossword clue is the 6 letter word ARGUED
I've seen this crossword clue in The Guardian
A
R
G
U
E
D
Buddy explains!
The straight part
We know that "Took issue with" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case took issue with = argued.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 ARGUED mean?
ARGUED verb- To show grounds for concluding (that); to indicate, imply.
- To debate, disagree or discuss opposing or differing viewpoints.
- To have an argument, a quarrel.
- To present (a viewpoint or an argument therefor).
- To prove.
- To accuse.