Lofty ambition is an expression that refers to a person's desire to achieve something great or difficult. It is often used to describe someone who has a strong determination to reach a certain goal, no matter how difficult it may be. The term can also be used to describe a person's ambition to reach a high level of success. The crossword solution for the term 'lofty ambition' is 'DREAM, ' which is fitting as dreams are often associated with ambition and reaching goals.