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.
(..) Testimony that could put a boy into the electric chair shou/d be that accurate. - I don't think he could have heard it. - Maybe he didn't, with all that el noise. - What are you people talkin' about? - It stands to reason he couldn't have. - Why lie? What's he got to gain? - Attention, maybe. (..)1957 12 Angry Men
(..) - Oh, brother! No matter. We were punchy. I lived in an apartment near the el line once. When the window's open, the train noise is almost unbearable. - You can hardly hear yourself think. - Will you get to the point? I will. Now, let's take two pieces of testimony and try to put them together. (..)1957 12 Angry Men