eat up a storm or eat a storm
If you eat up a storm, you’re like a hungry goat that saw a garden. You eat everything and don’t even care if it tastes bad.
At the church potluck, my mom ate up a storm and ate the dessert first.
My friend ate up a storm after skipping breakfast and lunch. He even ate the napkin.
I ate up a storm at the restaurant and left a mess bigger than my bill.