From Longman Dictionary of Contemporary Englishnot have a hair out of placenot have a hair out of placeTIDYto have a very neat appearance → hair
Examples from the Corpus
not have a hair out of place• He seemed stern and austere and never had a hair out of place.• Joel never has a hair out of place.• He sat at his desk, not a hair out of place, and turning a pencil over in his hand. 