The most common and most likely answer to this crossword clue is the 7 letter word SCRUPLE
I've seen this crossword clue in The Sunday Telegraph
S
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More clues leading to the result SCRUPLE
- Senior common room raised the French moral doubt
- Moral difficulty has little weight
- Small wrinklecauses moral difficulty
- Doubt place is beset by horrible curse
- Reservation has little weight
- Collapse, losing heart after second doubt
- Doubt cryptic clue’s about Republican and later power
- Hesitate on moral grounds? It’s of little weight
- Protest in small capitals before government seizes power
- Moral consideration? It’s of little weight
Buddy explains!

The straight part
We know that "Hesitate on moral grounds?/It’s of little weight" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hesitate on moral grounds?/it’s of little weight = scruple.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 SCRUPLE mean?
SCRUPLE noun- A weight of 1/288 of a pound, that is, twenty grains or one third of a dram, about 1.3 grams (symbol: ℈).
- (by extension) A very small quantity; a particle.
- A doubt or uncertainty concerning a matter of fact; intellectual perplexity.
- Hesitation to act from the difficulty of determining what is right or expedient; doubt, hesitation or unwillingness due to motives of conscience.
- A Hebrew unit of time equal to 1/1080 hour.
- To hesitate or be reluctant to act due to considerations of conscience or expedience.
- To excite scruples in; to cause to scruple.
- To regard with suspicion; to question.
- To question the truth of (a fact, etc.); to doubt; to hesitate to believe, to question.