The phrase "gobbled down" is correct and can be used in written English.
It is used to describe the action of quickly eating or drinking something. Example: He gobbled down his sandwich before heading out the door.
I went out to eat last week and gobbled down a steak.
She filled a plate for us, which we gobbled down, and learned we'd done well to act fast.
In Silva's show, a pear becomes a breast; it is gobbled down, the juice running down her chin.
Some gobbled down scrambled eggs, others guzzled orange juice and a few went into the two-and-half-hour exam with their stomachs growling.
When they returned, he placed the box on the lectern, and soon after starting his talk he opened it and gobbled down all 32 pills.
Last year, Joey Chestnut bested Takeru Kobayashi by gobbling down sixty-six weiners and buns in twelve minutes.
Phèdre is a gourmand of grief: she stuffs herself on shame, binges on lamentation, gobbles down grievance.
If I'm meeting friends after work, I usually grab a slice of pizza to gobble down on my walk.
It becomes a race against the clock; how much can you gobble down before the rest goes cold?
The That Way, dripping and spongy, with cheese like a dream, is the kind of thing you gobble down in a fever.
