This character is a Currency 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 is written as end of a European number, e.g., a currency symbol, from left to right. When changing direction it is not mirrored. U+20A3 prohibits a line break after it, if it is followed by a number.
The CLDR project calls this character “french franc” for use in screen reading software. It assigns these additional labels, e.g. for search in emoji pickers: currency, franc.
The Wikipedia has the following information about this codepoint:
The franc is any of various units of currency. One franc is typically divided into 100 centimes. The name is said to derive from the Latin inscription francorum rex (King of the Franks) used on early French coins and until the 18th century, or from the French franc, meaning "frank" (and "free" in certain contexts, such as coup franc, "free kick").
The countries that use francs today include Switzerland, Liechtenstein, and most of Francophone Africa. The Swiss franc is a major world currency today due to the prominence of Swiss financial institutions.
Before the introduction of the euro in 1999, francs were also used in France, Belgium and Luxembourg, while Andorra and Monaco accepted the French franc as legal tender (Monégasque franc). The franc was also used in French colonies including Algeria and Cambodia. The franc is sometimes Italianised or Hispanicised as the franco, for instance in Luccan franco.