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.
(..) My thoughts exactly, sire. And all this talk of change must be suppressed. Can't afford to let the rabble band together... ...and start making noises. The next thing... ...you know, they'll start asking questions... ...forming committees... ...launching inquiries. (..)2013 The Hobbit: The Desolation of Smaug