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.
(..) You haven't got a chance. There must be something! Fella, don't kid yourself. There are things you could try: Acid for his visual system, noise for his hearing.... No matter what, he'll always be one jump ahead of you! You haven't got a chance! Yes, l do. Help me! (..)1973 Westworld