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Wiktionary
wipe up

vb. 1 (context British intransitive English) To dry utensils, dishes etc. that have been washed. 2 To completely remove spilled liquid or solids, typically by hand using a dishcloth. 3 To clean thoroughly, particularly with a dishcloth or rag. 4 (context US metaphor English) To thoroughly defeat an opponent.

WordNet
wipe up

v. to wash or wipe with or as if with a mop; "Mop the hallway now"; "He mopped her forehead with a towel" [syn: mop up, mop]