It was taking too much notice of him: it was adding to his self-significance; and a call upon him to treat you with insolence.
c.1400, "meaning," from Old French significance or directly from Latin significantia "meaning, force, energy," from significans, present participle of significare "to mean, import, signify" (see signify). The earlier word was signifiance (mid-13c.). Meaning "importance" is from 1725. Related: Significancy.