Doing something for the first time after many years; roughly equivalent to 'for the first time in years' or 'after a long time.'
何年ぶりかに友達と会ってたくさん話した。
I met a friend for the first time in years and we talked a lot.
彼は何年ぶりかで母校を訪れ、校庭を歩いた。
He visited his alma mater for the first time in years and walked around the schoolyard.
何年ぶりかの大雪で交通が大きく乱れた。
Heavy snow — the first in years — greatly disrupted traffic.