Wiktionary
set one's cap at
alt. 1 (context idiomatic English) To choose a man as a potential husband (for a girl). 2 (context idiomatic more generally English) To choose something as a goal. vb. 1 (context idiomatic English) To choose a man as a potential husband (for a girl). 2 (context idiomatic more generally English) To choose something as a goal.