• WordNet 3.6
    • adj lop-eared having bent or drooping ears "a lop-eared hound"
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Webster's Revised Unabridged Dictionary
    • a Lop-eared Having ears which droop or hang down; as, a lop-eared hound.
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Century Dictionary and Cyclopedia
    • lop-eared Having ears which lop or hang downward; having pendulous ears. Also lap-eared.
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Chambers's Twentieth Century Dictionary
    • adjs Lop-eared having ears which hang downwards
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In literature:

There is my friendship with Lop-Ear, for instance.
"Before Adam" by Jack London
Love's young dream, I muses to myself, how swift it fades when a man has the nature and disposition of a lop-eared rabbit!
"The Man Upstairs" by P. G. Wodehouse
He, so gross, so practical, so lop-eared!
"The Complete Works of Artemus Ward" by Charles Farrar Browne (AKA Artemus Ward)
Not a scratch showed on the shaggy lop-eared little beast.
"Tales of lonely trails" by Zane Grey
A keeper's wife with whom Julia had got acquainted had promised her a pair of lop-eared rabbits if she could come and fetch them.
"The Good Comrade" by Una L. Silberrad
Here and there we saw a lop-eared burro, and far away I saw an eagle sailing around.
"I Married a Ranger" by Dama Margaret Smith
Thine ears he'll lop, and pare the nose away From thy pale ghastly visage: dire to tell!
"A New System; or, an Analysis of Antient Mythology. Volume II. (of VI.)" by Jacob Bryant
And apart from colour-varieties there are long-haired Angoras and quaint lop-eared forms, and many more besides.
"The Outline of Science, Vol. 1 (of 4)" by J. Arthur Thomson
Why you lop-eared, sun-stroked jackass, of course I'm sure!!!
"Jubilation, U.S.A." by G. L. Vandenburg
The Magellan Lop-eared is also hardy and prolific, though pugnacious if reared under glass.
"Punch, or the London Charivari, Vol. 150, March 8, 1916" by Various

In news:

BANGKOK, Thailand — If you've ever longed for a monkey to jam its rubbery little finger in your ear, there is a town for you called Lop Buri, Thailand.