The fable of Tantalus has generally been regarded as symbolizing avarice. It’s at least equally applicable to ambition, love of fame, indeed to almost every passion.
 
[La fable de Tantale n’a presque jamais servi d’emblème qu’à l’avarice. Mais elle est, pour le moins, autant celui de l’ambition, de l’amour de la gloire, de presque toutes les passions.]

Nicolas Chamfort (1741-1794) French writer, epigrammist (b. Nicolas-Sébastien Roch)

Products of Perfected Civilization [Produits de la Civilisation Perfectionée], Part 1 “Maxims and Thoughts [Maximes et Pensées],” ch. 1, ¶ 70 (1795) [tr. Parmée (2003), ¶ 58]
    (Source)

(Source (French)). Alternate translations:

The fable of Tantalus is hardly ever applied except to the passion of avarice; but it is at least as applicable to ambition, to the love of glory, and to nearly all the other passions.
[tr. Mathers (1926)]

The fable of Tantalus has been used almost exclusively as an emblem of avarice, but it is at least as applicable to ambition, the love of fame, and virtually all the passions.
[tr. Merwin (1969)]

The fable of Tantalus has almost never served as a precept except in the case of avarice. But it is, at all events, a precept attaching no wit less to ambition, to love of glory, to almost all passions.
[tr. Pearson (1973)]

The fable of Tantalus has nearly only ever served as an emblem of avarice. However, it is at least as much a symbol of ambition, of the love of glory, and of nearly every passion.
[tr. Siniscalchi (1994)]