Your question is a little bit complicated to me, but do you mean a self-referencing word?
If so, then it is usually called an autological word or an autonym.
Autogram - A sentence that describes itself in the sense of providing an inventory of its own characters.
This sentence has five words.
This sentence contains nine syllables.
Reflexive (sentence)
A sentence where the subject and object are the same (Sources: Reflexive verb, pronoun).
The man washed himself.
Hofstadster's Law
Hofstadter's law is a self-referential time-related adage, coined by Douglas Hofstadter and named after him.
Any task you're planning to complete will always take longer than expected - even when Hofstadter's law is taken into account. Even if you know a project will overrun, and build that knowledge into your planning, it'll simply overrun your new estimated finish time, too, Hofstadter says.
(Source: The Guardian)
Post hoc ergo propter hoc
Latin for after this, therefore because of this. It means a logical fallacy (of the questionable cause variety) that states "Since event Y followed event X, event Y must have been caused by event X." Sometimes shortened post hoc.
The server was working fine until you started working here. Therefore, you must be the reason why it's broken.
Recursion
Recursion is the process of repeating items in a self-similar way. (Warning: Has many applications outside of language as well.)
To understand recursion, you must understand recursion.