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parapet
keep (one's) head below the parapet
To hide or remain inconspicuous in an attempt to avoid trouble or danger. I wouldn't say anything right now—just keep your head below the parapet for the time being.
put/stick your head above the parapet
to be brave enough to state an opinion that might upset people Kearton was one of the very few to put his head above the corporate parapet and speak his mind in public.