Cegerxwîn
No. Cegerxwîn is Kurdish (Kurmanji) in origin; it is a compound of Kurdish lexical items and best known as a Kurdish poetic pen-name.
Yes — Cegerxwîn was the pen-name of the Kurdish poet Şêxmûs Hesen (1903–1984). The name itself derives from Kurdish words rather than Arabic or Persian.
It is primarily a literary/pen-name and is rare as a personal given name; use as a given name would be culturally specific and uncommon.
'Ceger' in Kurdish literally means 'liver' and is often used metaphorically as the seat of emotion or feeling.
No. The name is grounded in Kurdish vernacular and literature and has no direct Quranic citation.