Arrogance is a related term of flippancy.

As nouns the difference between arrogance and flippancy

is that arrogance is the act or habit of arrogating, or making undue claims in an overbearing manner; that species of pride which consists in exorbitant claims of rank, dignity, estimation, or power, or which exalts the worth or importance of the person to an undue degree; proud contempt of others; lordliness; haughtiness; self-assumption; presumption while flippancy is a disrespectful levity or pertness especially in respect to grave or sacred matters.