Something that follows from something else. The thing that follows could be:
something suggested indirectly (not said directly)
something that can be concluded (often a logical consequence)
something that results from something else
I object to her implication that my work was sub-standard.
The new policy has widespread legal and political implications.
The implication is pregnancy.
Lorraine Hansberry -- A Raisin in the Sun
I leave out everyone’s name and I pause at the implication of this, knowing it’s not good. Even though he is asking to be my husband, I don’t know him enough to trust him completely.
Kathryn Stockett -- The Help
Once the implications of what I was seeing on Mayor Undersee’s television hit me, I made for the door and started down the hall.
Suzanne Collins -- Catching Fire
"Ask him about the photograph," he said. ... Clayton knew by her expression that he had her attention but wasn’t sure she understood the implications. ... "He was obsessed with you even though you’d never met... He hunted you down, ... to become part of your life. That’s what dangerous stalkers do, Beth."
Nicholas Sparks -- The Lucky One
She halted for a moment, considering the question, before realizing the implications of what she was thinking.
Nicholas Sparks -- The Guardian
The tone he used and the obvious implications made the hairs on the back of Miles’s neck suddenly stand on end.
Nicholas Sparks -- A Bend in the Road
The implications of what Gale is suggesting settle quietly around the room.
Suzanne Collins -- Mockingjay
Just as I was processing the implications of my son’s statement...
Todd Burpo -- Heaven Is for Real
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"There was a ship." Jack, faced at once with too many awful implications, ducked away from them. ... "We might have gone home—"
William Golding -- Lord of the Flies
Half-relieved, half-daunted by the implication of further terrors, the savages murmured again.