This character is a Other Symbol and is commonly used, that is, in no specific script.
The glyph is not a composition. It has no designated width in East Asian texts. In bidirectional text it acts as Other Neutral. When changing direction it is not mirrored. The word that U+25D8 forms with similar adjacent characters prevents a line break inside it.
The CLDR project calls this character “inverse bullet” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: bullet, inverse.
The Wikipedia has the following information about this codepoint:
In typography, a bullet or bullet point, •, is a typographical symbol or glyph used to introduce items in a list. For example:
•Item 1
•Item 2
•Item 3
The bullet symbol may take any of a variety of shapes, such as circular, square, diamond or arrow. Typical word processor software offers a wide selection of shapes and colors. Several regular symbols, such as * (asterisk), - (hyphen), . (period), and even o (lowercase Latin letter O), are conventionally used in ASCII-only text or other environments where bullet characters are not available. Historically, the index symbol ☞ (representing a hand with a pointing index finger) was popular for similar uses.
Lists made with bullets are called bulleted lists. The HTML element name for a bulleted list is "unordered list", because the list items are not arranged in numerical order (as they would be in a numbered list).