The phrase 'set one's sights on' means to focus one's attention or ambition on a particular goal. The crossword solutions for this phrase are EYE (3 letters), EYED (4 letters), AIMAT (5 letters), and AIMEDAT (7 letters). Each of these words can be used to describe the action of setting one's sights on something, with EYE referring to the act of looking at something, EYED referring to having looked at something, AIMAT referring to aiming at something, and AIMEDAT referring to having aimed at something.