From frog +‎ -ly (suffix forming adjectives).

frogly (comparative more frogly, superlative most frogly)

1. Of, relating to, or characteristic of frogs.

   Synonyms: froggish, froggy, froglike, ranine

   • 1877, "The Centennial Frog", The Centennial Frog, and Other Stories, publ. by Clazton, Remsen & Haffelfinger, page 14.

     Lieutenant Frog's rich frogly voice / Husky grew with his great theme;

   • 1901, Grant Allen, In nature's workshop:

     […] and when at last they arrive at frogly maturity, they escape into the world through the mouth of their father.

   • 1945, American Nature Association, Nature magazine:

     Yet as some of the verses show, Aristophanes knew a good deal of actual frogly habits.

   • 2008, Bruce Coville, Oddest of All:

     On those sacred nights you can rise in frogly glory to confront the villains who are poisoning my subjects.

From frog +‎ -ly (suffix forming adverbs).

frogly (comparative more frogly, superlative most frogly)

1. (humorous, nonce word) In a frog-like manner.
   • 2009, Gail Donovan, In Memory of Gorfman T. Frog:

     Toadly awesome!" "Not toadly," said Michael, laughing. "Gorfman's a frog." "It's frogly awesome," said Charu.