From Longman Dictionary of Contemporary Englishnot lift/raise a fingernot lift/raise a fingerHELPto not make any effort to help someone with their work I do all the work around the house – Frank never lifts a finger. → finger
Examples from the Corpus
not lift/raise a finger• I do all the work around the house - Frank never lifts a finger.• The Government are not lifting a finger to help the economy of Renfrewshire.• King Charles did not lift a finger to save her. 