This is a great phrase in spoken English. We often use this with bosses in the work place.
If you have a very strict boss who pays attention to every little thing you do and doesn’t give you much space or freedom, you can say “My work is really stressful lately because my new boss is always breathing down my neck”
Someone who works from a home office could say something like, “I love working from home because I don’t have the stress of my boss breathing down my neck all the time”.
Everyone hates the feeling of having someone else “breathing down their neck“
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