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.
(..) ♪ Sweet like candy to my soul ♪ ♪ Sweet you rock, and sweet you roll ♪ ♪ Lost for you I'm so lost for you ♪ People make so much noise in the movies but... it's really not a big thing you can totally be quiet during it. Was it amazing, though? I wanted it so badly but then... (..)2017 Lady Bird