The term 'sagelike' is used to describe someone who is wise and experienced. The crossword solutions for this term are 'ASTUTE' (6 letters) and 'LEARNED' (7 letters). ASTUTE means having or showing an ability to accurately assess situations or people and turn that understanding into sound judgment. LEARNED means having or showing profound knowledge acquired through study, experience, or being taught. Therefore, the term sagelike can be used to describe someone who is ASTUTE and LEARNED.