I'm shocked at the 'suggestion' that he deliberately cheated. = The very 'suggestion' that he deliberately cheated is shocking (to me).
They were careful to avoid any 'suggestion' of impropriety. [=avoid doing anything that could be seen as improper]
There was some 'suggestion' of swelling around his ankle. [=his ankle appeared to be slightly swollen]
(..) You'll have to see it through to the end. We've placed visual aids in your eyeline, which might help if you... get into trouble. The suggestion we're getting from psychologists is that you should take as long as you need. If you rush, it might be misinterpreted as eagerness (..)2011 TvShow: Black Mirror Title: The National Anthem Season: 1 Episode 1