Answer:
Sometimes I am loud. And viewed with distaste. Poke out my 'eye', then I'm on the front of your face.
Green arrows grow out of my sides. I go from yellow to white. My babies fly in the wind. What am I?
A dagger thrust at my own heart, dictates the way I'm swayed. Left I stand, and right I yield, to the twisting of the blade.
What weaves webs as they grow?
I'm a god. I'm a planet. I measure heat.
Those with eyes bigger than their stomach will definitely leave the restaurant with one of them. It is named after a house pet as well.