Several parts combine into one character.

絹 is a phonetic-semantic compound: 糸 (silk thread radical) + 㫃 / 肙 (juān, originally a depiction of a small silk-cocoon-like shape — providing the sound). The composite originally named a specific category of silk: plain-weave silk made from raw silk filaments. The 糸 radical anchors the entire CJK vocabulary of textiles and threads — 絹 (silk), 綿 (cotton), 絲 (raw silk), 縄 (rope), 紙 (paper, originally silk-thin), 紋 (pattern), 細 (thin / fine). Chinese silk culture, central to civilization for 5,000 years, lives in this radical.

Korean reading "gyeon." 絹絲 (gyeonsa, silk thread), 人絹 (ingyeon, "human silk" = artificial silk / rayon — Korean term for synthetic silk-like fabrics, especially common in lightweight summer clothing), 絹本 (gyeonbon, "silk-base" = paintings done on silk, contrasting with paper-base 紙本), 絹織物 (gyeonjikmul, silk fabric — formal textile term). Korean traditional textiles centered on silk for elite use and on hemp/cotton for common wear; 견 vocabulary marks the high register.

Mandarin juàn, 4th tone (simplified 绢). 手绢 (shǒujuàn, "hand-silk" = handkerchief — though modern Chinese mostly says 纸巾 zhǐjīn for tissues), 绢花 (juànhuā, silk flowers / decorative artificial flowers made of silk). Modern Mandarin everyday word for silk is 丝绸 (sīchóu) or just 丝 (sī); 绢 has narrowed to specific traditional crafts.

Japanese on-reading ケン (ken) — 人絹 (jinken, artificial silk), 絹本 (kenpon, silk-painting). Kun-reading きぬ (kinu) is the everyday word: 絹 (kinu, silk), 絹糸 (kinuito, silk thread), 絹織物 (kinu orimono, silk fabric). Japanese silk culture is rich — Nishijin silk weaving in Kyoto, hand-painted Yuzen silks, and the Imperial sericulture (the empress traditionally tends silkworms herself in a ritual revived by Empress Michiko). The phrase 絹のような肌 (kinu no yō na hada, "skin like silk") is a classic Japanese compliment.

Memory aid: silk thread radical (糸) plus 肙 (a small cocoon shape) — the cocoon's silk is woven into fabric.