The term 'wisely cautious' can be summarized by two crossword solutions: 'PRUDENT' (7 letters) and 'DISCREET' (8 letters). PRUDENT is defined as being careful and sensible in one's actions, while DISCREET is defined as being tactful and circumspect. Both words imply a level of caution and wisdom when making decisions or taking action. In other words, the term 'wisely cautious' suggests that one should be thoughtful and judicious in their behavior.