I think that's a fine idea. It's cute and real-world-relevant. If time permits, you might also make different types of eggs that appear randomly, and produce different kinds of hatchlings. It might include wacky surprises like clown-chicks or dinosaurs. Advanced levels could have multiple incubator groups, each with its own lamp, and the player has to manage the lamps of all the groups. Maybe sometimes a predator hatches and tries to eat an adjacent egg. Maybe a unique egg type that takes a bajillion times longer to hatch, but produces some bonus if it succeeds. Also the hatchlings could have a health value that reflects how perfectly their egg was incubated, and achieving superior hatchling health rewards with bonuses. There's lots of ways one could go with this, it could be a game I'd like to play.