His eye-rolling song-and-dance routines eventually led to his nickname , Banjo Eyes , and in 1933 , the artist Frederick J. Garner caricatured Cantor with large round and white eyes resembling the drum-like pot of a banjo . His eye-rolling song-and-dance routines eventually led to his nickname , `` Banjo Eyes '' . In 1933 , the artist Frederick J. Garner caricatured Cantor with large round eyes resembling the drum-like pot of a banjo .