The game actually has a built-in auto-clicker for some things - bird nests included - just left click and hold. It's meant more to save your wrist than to be as good as a real auto-clicker though.
Later there are some talents that boost clicking, these help a lot in opening bird nests! I'll keep that in mind though, that would be a neat idea to have peasants that auto open bird nests and other things :) thanks for the feedback.