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Based off the context of this sentence, the strong points: "one taste 'provoked another'", "to the flagon 'so often'", "that 'at length'", the synonym and or simpler definition to the said word (reiterated) or reiterate, would be repeat.
Actual definition of < reiterate >
Re•it•er•ate \rē-'it-e-'rāt\ vt-at•ed; -at•ing [L reiteratus, pp. of reiterare to repeat, fr. Re- + iterare to iterate] (1526) : to state or to do over again or repeatedly sometimes with wearying effect - re•it•er•a•tion \(') rē-,it-e-'rā-shen\ n - re•it•er•a•tive \ rē-'it-e-,rāt-iv, -ret-iv; -'i-tret-iv\ adj - re•it•er•a•tive•ly adv
Source for definition:
Webster's Ninth New Collegiate Dictionary
By: A. Merriam-Webster
