Combine softened butter with garlic, ramps, spring onions, thyme, lemon zest and salt in a food processor. Scrape onto parchment paper and roll into a log, twisting ends to wrap butter log tightly. Refrigerate to firm or freeze 30 minutes.
Cut deep pockets into each piece of chicken breast with a small, sharp knife. Cut 4 discs of butter about 3/4-inch thick and nest one into each chicken breast in the cut pockets.
Arrange 3 dishes: one with flour, another with the beaten eggs and the third with panko and breadcrumbs with cheese & a little nutmeg. Season each dish with salt and pepper. Bread the chicken, coating them in flour, then egg and ending with breadcrumbs.
Heat oil, 4 turns of the pan, in a wide, shallow skillet over medium to medium-high heat. Cook the chicken 12-15 minutes, turning occasionally.
Combine greens and dress with lemon juice, a drizzle of EVOO and season with salt.
Serve Kiev with lemon wedges and greens alongside.