To eat quickly, greedily, hungrily, or ravenously.
To take in avidly with the intellect or with one's gaze.
To rapidly destroy, engulf, or lay waste.
To absorb or engross the mind fully, especially in a destructive manner.
To finish completely, especially a food (polish the plate with one's tongue) or liquor.
To remove by polishing (rubbing with a fine abrasive).