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 said "minkey." I did? You see, I'm beginning to talk like him. No, Doctor. You'd better come up with a better suggestion, or I'll get myself another analyst. Now, just relax. Relax. I haven't slept for a week. I just lie there, thinking the same thoughts (..)1975 The Return of the Pink Panther