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]
(..) And I just need enough to get out of here. Oh, we'll help with the local law enforcement if you wanted to bother. As far as money is concerned, can I make a suggestion? You say you were mugged? And they didn't take that watch? How much is a watch like that worth? (..)1997 The Game