The phrase "sticking one neck out" implies action, risk-taking, and potential danger. Antonyms for this phrase would include phrases that suggest caution, inaction, or withdrawal. Some examples of these could be "playing it safe," "remaining on the sidelines," or "keeping a low profile." Other antonyms may include "shirking responsibilities," "avoiding participation," or "refusing to get involved." While these phrases may not carry the same connotation of courage or bravery as "sticking one neck out" does, they can be equally important in certain situations. Assessing risks and making careful decisions can be just as valuable as taking bold action.