noun
taking lessons in traditional arts; accomplishments
Refers to the practice of taking lessons in traditional Japanese cultural arts such as dance, music, tea ceremony, or flower arranging. Often used in the context of a child's after-school activities or an adult's hobby.
娘は週に二回、稽古事に通っている。
My daughter goes to traditional arts lessons twice a week.
子どもの頃、いくつか稽古事を習っていた。
When I was a child, I took several different traditional arts lessons.
習い事 is a broader term for any kind of lessons or learning activities (e.g., swimming, English conversation), while 稽古事 specifically refers to traditional Japanese arts.
お稽古 is a more common and polite way to refer to lessons in traditional arts, often used for one's own practice. 稽古事 is slightly more formal and can refer to the activity as a category.
Compound of 稽古 (keiko, 'practice, training in traditional arts') and 事 (koto, 'thing, matter'). The reading けいこごと comes from rendaku voicing of こと.