WordNet sense 1 (worry or cause anxiety in a persistent way):

eat on

WordNet sense 2 (take in food; used of animals only):

feed

WordNet sense 3 (use up (resources or materials)):

consume, deplete, exhaust, eat up, wipe out, run through, use up

WordNet sense 4 (cause to deteriorate due to the action of water, air, or an acid):

corrode, rust