The term PRESS ON can be broken down into four crossword solutions: IMPEL (5 letters), URGE (4 letters), ENDURE (6 letters), and PROCEED (7 letters). IMPEL means to drive or URGE forward with force, while URGE is to strongly recommend or advise. ENDURE means to remain in existence or ENDURE over time, and PROCEED means to move forward or continue. All of these words together suggest that the phrase PRESS ON is meant to encourage someone to keep going despite any obstacles they may face.