Place the eggs in a saucepan and cover them with cold water.
Bring the water to a boil, then remove the saucepan from heat.
Cover and let the eggs sit in the hot water for about 10 minutes.
While the eggs are resting, prepare your other ingredients.
Chop the chives and slice the radishes nice and thin.
You'll want everything ready to go when your eggs are peeled.
Peel the eggs once they are cool enough to handle.
Chop them into small pieces and place them in a mixing bowl.
Check for any large pieces that might need breaking down.
Add mayonnaise, mustard, and lemon juice to the eggs.
Stir well until the mixture is smooth and creamy.
Season with salt and pepper as needed.
Fold in the chopped chives and sliced radishes.
Mix gently to keep the radishes from becoming too crushed.
Your egg salad is now ready to serve!