Source : Webster's Revised Unabridged Dictionary (1913)

Insatiably \In*sa"tia*bly\, adv.
   In an insatiable manner or degree; unappeasably. ``Insatiably
   covetous.'' --South.

Source : WordNet®

insatiably
     adv 1: to an insatiable degree; "she was insatiably hungry" [syn: {unsatiably}]
     2: in an insatiable manner; with persistence but without
        satisfaction; "he clawed insatiably at the traditional
        precepts" [syn: {unsatiably}]