A gathered frock for kids with an asymmetrical neck and sleeveless design in white and lavender color scheme would be both stylish and adorable! Here's how you could envision such a design:

Color Scheme: The combination of white and lavender creates a soft and elegant look. You could opt for a predominantly white frock with lavender accents or vice versa, depending on your preference. Lavender could be used for detailing, trimmings, or as an accent color in the print.

Fabric Choice: Choose lightweight and breathable fabrics like cotton or chiffon for comfort, especially in warmer weather. These fabrics will also lend a soft and airy feel to the frock, perfect for kids' wear.

Asymmetrical Neckline: The asymmetrical neckline adds a modern and unique touch to the frock. You could have one shoulder exposed while the other side features a strap or embellishment for visual interest.

Gathered Design: Incorporate gathers at the waistline to add volume and create a flattering silhouette. The gathered waist can be accentuated with a fabric belt or ribbon in matching or contrasting colors.

Sleeveless Design: A sleeveless design is ideal for warmer weather and allows for ease of movement. You could add delicate straps or keep it entirely strapless for a more minimalist look.

Details: Consider adding delicate lace trims, embroidered motifs, or sequin embellishments to enhance the overall design and add a touch of charm.

Silhouette: Aim for a silhouette that is comfortable and easy to wear, with a slightly flared skirt for movement and flair. The frock can have a knee-length or midi-length hemline, depending on personal preference and the occasion.

Overall, a gathered frock for kids with an asymmetrical neckline and sleeveless design in white and lavender color scheme would be a stylish and chic choice for various occasions, from casual outings to special events.