Technically, the spell Cure Light Wounds doesn't exist in 5e, so I would assume you are asking for a Wand of Cure Wounds.
Mechanically speaking, it would be entirely unlike the Wand of CLW of 3.X. With 7 charges max, recharging, attunement, scaling, etc. It's niche would be as a panic button, rather than a battery (a role filled by HD in 5e.) Given the rarity of other similar-power wands, it would be available at the same time a Staff of Healing is. And toning down the wand, so it could be more common, would give it less impact than a Potion of Healing.
I see no point in it. We already have the various Potions of Healing and the Staff of Healing to fill the same niche. If a player really wanted a wand, I would be tempted to re-skin the Staff first.