This character is a Other Symbol and is commonly used, that is, in no specific script. The character is also known as take-away box and oyster pail.
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+1F961 offers a line break opportunity at its position, except in some numeric contexts.
The CLDR project calls this character “takeout box” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: oyster pail.
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: 🥡︎ See the Emojipedia for more details on this character’s emoji properties.
The Wikipedia has the following information about this codepoint:
An oyster pail (also known as a paper pail, Chinese food box or Chinese takeout container) is a folded, waxed or plastic coated, paperboard container originally designed to hold oysters. It commonly comes with a handle made of solid wire. It is often used by American Chinese cuisine restaurants in the United States to package take-out food. It can also be found in other Western countries, such as Australia, New Zealand, Germany, Poland, England and Brazil, but is rarely seen in China and other Asian countries with high numbers of ethnic Chinese.