This appears to be a non-standard form; the correct noun is 'flippancy,' meaning glib or disrespectful behavior.
A malformed or archaic variant of 'flippancy.' The correct term derives from 'flippant' (glib, disrespectful) plus the suffix '-cy.'
English speakers sometimes create 'back-formations' from words—seeing 'flippancy' and thinking it comes from 'flippance' is a common error that shows how our brains fill in linguistic patterns.
Complete word intelligence in one call. Free tier — 50 lookups/day.