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]
(..) - We did. But the way I'm using it makes it an adult thing. The box for this one said ages to . That's a suggestion. They have to put that on there. You can't expect me to be able to resist playing with all this. You have your stuff over near the Christmas decorations. (..)2014 The Lego Movie