The most common and most likely answer to this crossword clue is the 8 letter word OVERTONE
O
V
E
R
T
O
N
E
More clues leading to the result OVERTONE
- Association gone from SW, presumably
- Subtle meaning from obvious figure
- Flavour of plain drink
- Noticeable but not obvious quality of public figure?
- Obvious figure, hidden meaning
- Subtle extra meaning obvious to individual
- Deliberate individual gets extra meaning
- Individual following public association
- Clear setter’s implicit meaning
- Association football team dropping lead after Ronaldo’s finish
Buddy explains!

The straight part
We know that "suggestion" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case suggestion = overtone.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 OVERTONE mean?
OVERTONE noun- A tone whose frequency is an integer multiple of another; a member of the harmonic series.
- (often in plural) An implicit message (in a film, book, verbal discussion or similar) perceived as overwhelming the explicit message.
- To give an overtone to.