The most common and most likely answer to this crossword clue is the 6 letter word AMORAL
I've seen this crossword clue in The Times
A
M
O
R
A
L
More clues leading to the result AMORAL
- American chap pinches gold, having no principles
- Wrong exam before lunch?
- Lacking principles, upset mother before exam
- A male in speech is unconcerned with right or wrong
- Graduate turned up before exam, perfectly happy to cheat?
- Oblivious to the right marks in a test
- A lesson that’s unprincipled
- With no scruples, nose goes over line
- Unprincipled city’s backing withdrawn from mayoral motion
- Monk upset about men lacking principle
Buddy explains!

The straight part
We know that "having no principles" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case having no principles = amoral.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 AMORAL mean?
AMORAL adjective- (of acts) Neither moral nor immoral.
- (of people) Not believing in or caring for morality and immorality.