All 3 Uses

implication
in
The Lucky One
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"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."
Chpt 27 *

implications = things that can be concluded from knowing something else
Clayton didn't like his tone, or the implication.†
Chpt 1
In hindsight, there was something menacing about the comment's implication....let's just say she doesn't date.†
Chpt 19

Definitions:

(1) (implication as in: the implication is that...)
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
(2) (implication as in: Her implication in the crime)
involvement in or the suggestion that someone was involved in something -- especially a crime
(3) (meaning too rare to warrant focus)