From Wiktionary, the free dictionary
From continuing + -ly.
continuingly (not comparable)
- In a manner that is ongoing.
2007 July 29, Douglas Martin, “D. D. Ryan, Fashionable Godmother to ‘Eloise,’ Dies at 79”, in New York Times[1]:The result was “Eloise,” published in 1955 and a best seller the next year, and its continuingly popular sequels.