The glyph is not a composition. It has no designated width in East Asian texts. In bidirectional text it is written from left to right. When changing direction it is not mirrored. The word that U+0268 forms with similar adjacent characters prevents a line break inside it. The glyph can be confused with one other glyph.
The Wikipedia has the following information about this codepoint:
I with bar (majuscule: Ɨ, minuscule: ɨ) is a letter of the Latin alphabet, formed from I or i with the addition of a bar.
In the International Phonetic Alphabet, ɨ is used to represent a close central unrounded vowel. In American linguistic tradition, it is used to represent the weak vowel heard in the second syllable of roses when distinct from Rosa's. For related uses of the small capital barred i, see near-close central unrounded vowel.
The ISO 6438 (African coded character set for bibliographic information interchange) gives lowercase of Ɨ as ɪ, a small capital I, not ɨ.