This character is a Other Symbol and is commonly used, that is, in no specific script.
The glyph is not a composition. Its East Asian Width is wide. In bidirectional text it acts as Other Neutral. When changing direction it is not mirrored. U+1F46F prohibits a line break after it, if it’s followed by an emoji modifier.
The CLDR project calls this character “people with bunny ears” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: bestie, bff, bunny, counterpart, dancer, double, ear, identical, pair, party, partying, people, soulmate, twin, twinsies.
This character is designated as an emoji. It will be rendered as colorful emoji on conforming platforms. To reduce it to a monochrome character, you can combine it with Variation Selector-15: 👯︎ The character can be changed in appearance, if it is followed by an emoji modifier. See the Emojipedia for more details on this character’s emoji properties.
The Wikipedia has the following information about this codepoint:
A Playboy Bunny is a cocktail waitress who works at a Playboy Club and selected through standardized training. Their costumes were made up of lingerie, inspired by the tuxedo-wearing Playboy rabbit mascot. This costume consisted of a strapless corset teddy, bunny ears, black sheer-to-waist pantyhose, a bow tie, a collar, cuffs and a fluffy cottontail. In more recent Playboy Clubs, such as Sin City that was re-opened in 2006, Playboy bunnies wore slightly altered costumes that were based on the original bunny suit.