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]
(..) Steam, water shooting up. We're too late for the geyser, we missed it. - What do we do? - Do you have any suggestions, professor? Without water, no steam. Without steam, we're not going anywhere. This place looks like there hasn't been water here in two, three hours now. (..)2008 Journey to the Center of the Earth