拎 specifically means carrying something by gripping a handle or strap — bags, buckets, suitcases. Compare with 提 (tí), which is more standard/formal. 拎 is especially common in northern dialects and Shanghai dialect.
Hand radical on the left — the side-form of 手, three quick strokes for fingers and palm. Marks 拎 as an action of the hand, joining 提 lift, 抓 grab, 拿 hold. Carrying with a handle is one specific hand-verb among many in this family.
Right side 令 supplies the sound through a wide drift: lìng → līn with both tone and final shift. The same phonetic powers 怜 pity, 邻 neighbour, 玲 tinkle, 龄 age — a productive series with much sound variation. 令 here is purely sonic, not semantic.