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]
(..) Then you are the only person in Meereen who's not free. And I know I'm here to serve my queen and not give advice, but can I make one more suggestion? Of course. On the day of the great games, gather all the Great Masters and Wise Masters and Worthy Masters you can find (..)2015 TvShow: Game of Thrones Title: The Gift Season: 5 Episode 7