Possible Clues:

• Pry into others’ business
• Put one's nose where it doesn't belong
• Political party's infiltrated by 'double 0' spy
• Look through someone's texts, say
• Dig, maybe
• Watch, observe, or inquire secretly
• Be nosy in a sneaky way
• Nose surgery behind some nasal orifice, primarily
• Detective rejects no bribe
• Stick your nose in