In Japanese, nekome 猫目 means "cat eyes," and can refer to multiple things: an actual cat's eyes; a person's eyes, whose shape is large, round and upturned, like a cat's; and, in manga and anime, when a character's expression changes into a cat face, drawn with cat-like eyes.
Not to be confused with neko-moku ネコ目, the "order Carnivora" (biology term), which includes cats, who are carnivores. Nor to be confused with kono neko me! この猫め！, which means "this damn cat!" or "you damn cat!"
Anime: Hunter x Hunter (2011) (Episode 40)