In this particular case, the age-old question is settled: The egg definitely came first, but the chicken came in a close second.
Shape the clay into a beak, comb and feet.
Rub a dab of white glue onto the clay parts and press them into place on the egg (otherwise, the clay shrinks and detaches as it dries). Hold for 1 minute until the glue starts to dry, then set the egg with attached clay aside to dry completely.
Finish the chick by painting on eyes, wings and feathers.