'eat up' definitions:

Definition of 'eat up'

From: WordNet
verb
Finish eating all the food on one's plate or on the table; "She polished off the remaining potatoes" [syn: eat up, finish, polish off]
verb
Use up (resources or materials); "this car consumes a lot of gas"; "We exhausted our savings"; "They run through 20 bottles of wine a week" [syn: consume, eat up, use up, eat, deplete, exhaust, run through, wipe out]
verb
Enclose or envelop completely, as if by swallowing; "The huge waves swallowed the small boat and it sank shortly thereafter" [syn: immerse, swallow, swallow up, bury, eat up]

Synonyms of 'eat up'

From: Moby Thesaurus