This character is a Other Symbol and is commonly used, that is, in no specific script. The character is also known as wrestling.
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+1F93C prohibits a line break after it, if it’s followed by an emoji modifier.
The CLDR project calls this character “people wrestling” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: combat, duel, grapple, people, ring, tournament, wrestle, wrestling.
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:
Wrestling is a martial art and combat sport that involves grappling with an opponent and striving to obtain a position of advantage through different throws or techniques, within a given ruleset. Wrestling involves different grappling-type techniques, such as clinch fighting, throws and takedowns, joint locks, pins, and other grappling holds. Many different wrestling techniques have been incorporated into martial arts, combat sports, and military systems.
Wrestling comes in different competitive forms, such as freestyle, Greco-Roman, judo, sambo, folkstyle, catch, shoot, luta livre, submission, sumo, pehlwani, shuai jiao, and others. Another popular form is professional wrestling, which is a form of athletic theatre. Wrestling first appeared in the ancient Olympic Games as an event during the 18th Olympiad in 708 BC. There are a wide range of styles with varying rules, with both traditional historic and modern styles. The term "wrestling" is referenced in late Old English as wræstlunge (glossing palestram).