Sponge on - Idioms by The Free Dictionary
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Also, sponge off. Impose on another's hospitality or generosity, as in He's been sponging on relatives for the past year. This expression uses sponge in the sense of "to soak up something." [Late 1600s]
References in periodicals archive
Brawny DuraFresh(TM) Sponge: The only sponge on
the market made with a revolutionary, patented material that naturally inhibits the growth of bacteria on the sponge, leaving it virtually odor free.