She started 'making noises''about' running for office. [=she started saying things that showed she was thinking about running for office]
Politicians are 'making (all) the right noises' about improving the schools, but they don't want to spend any money to do it.
Congress has been 'making' (a lot of) 'noise' about lowering taxes, but no one expects it to happen.
(..) Come in, Mrs. Butler. Come here. Sit down! There's no reason why you shouldn't have your nightcap even if I am here. I didn't want a drink. I heard a noise and-- You heard nothing of the kind. You wouldn't have come down if you'd thought I was here. -You must need a drink badly. -I do not! (..)1939 Gone with the Wind
(..) Did you ever see a prettier one? Well, sir, Miss Scarlett was mighty nigh that pretty when she come, but not quite. Have another glass, Mammy. What's that rustling noise I hear? Lordsy, Mr. Rhett. That ain't nothin' but my red silk petticoat you done give me. Nothing but your petticoat. (..)1939 Gone with the Wind