The most common and most likely answer to this crossword clue is the 6 letter word LINEAR
I've seen this crossword clue in The Guardian
L
I
N
E
A
R
More clues leading to the result LINEAR
- Long, narrow cruise ship rounds tip of Africa
- Foolish king put outside home in a row
- Like some ancient scripts amusing writer keeps at home
- One-dimensional retro part of transport infrastructure crossing small space
- One-dimensional storyteller touring Geordieland
- Some criminal, in earnest, going straight
- Learn if criminal female goes straight
- One-dimensional person giving false information touring northeast
- One-dimensional king accepting only the popular
- In a row nothing upset listener
Buddy explains!

The straight part
We know that "going straight" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case going straight = linear.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 LINEAR mean?
LINEAR adjective- Having the form of a line; straight or roughly straight; following a direct course.
- Of or relating to lines.
- Made, or designed to be used, in a step-by-step, sequential manner.
- (of leaves) Long and narrow, with nearly parallel sides.
- Of or relating to a class of polynomial of the form y = ax + b .
- A type of length measurement involving only one spatial dimension (as opposed to area or volume).