The term 'THE PRESIDENCY, NOTABLY' can be broken down into two crossword solutions: AGER (4 letters) and NOTABLY (7 letters). The term 'AGER' is an abbreviation for the word 'AGENT, ' which is a person who acts on behalf of another. This could refer to a president's staff or cabinet members who are responsible for carrying out the president's orders. The term 'NOTABLY' means 'ESPECIALLY, ' which could refer to the president's role as the leader of the United States and the most powerful person in the country. The presidency is NOTABLY important because it is the highest office in the land and the president has the power to make decisions that affect the entire nation.