Humble (kenjōgo) expression for 'to meet' used when referring to meeting someone of higher status; a polite way to say 会う.
先日はお忙しいところお時間をいただき、お目にかかれて光栄でした。
Thank you for taking the time the other day; it was an honor to meet you.
来週、社長にお目にかかる予定です。
I am scheduled to meet the president next week.
初めてお目にかかります。どうぞよろしくお願いします。
Nice to meet you (humble). Pleased to make your acquaintance.
Archaic meaning: to be seen, to be noticed or recognized (rare/obsolete usage).
昔の文章では『その影、めでお目にかかる』のような用法が見られる。
In older writings you can see uses like 'that figure can be seen,' employing this sense.