Acting cautiously means to proceed with caution and be aware of potential risks. The term 'act cautiously' can be broken down into four crossword solutions: HESITATE (8 letters), pussyfoot (9 letters), waitandsee (10 letters), and walkoneggshells (15 letters). HESITATE means to pause before acting, pussyfoot means to move slowly and carefully, waitandsee means to wait and observe before taking action, and walkoneggshells means to proceed with extreme caution. All of these terms suggest that one should take their time and be mindful of potential risks when making decisions.