To climb or ascend to the top; to reach the summit (literally of a mountain or figuratively the top position).
朝早く出発して、三時間で山頂まで上り詰めた。
We set out early in the morning and reached the mountain summit in three hours.
彼は営業から出世街道を上り詰め、ついに社長になった。
He climbed the career ladder from sales and finally reached the top as company president.
足場が悪くて慎重に上り詰める必要があった。
The footing was poor, so it was necessary to climb to the top carefully.
To become engrossed or infatuated with something; to be very enthusiastic about or absorbed in (often used like 'become obsessed with').
若い頃はギターに上り詰めて、毎晩遅くまで練習していた。
When he was young he became obsessed with the guitar and practiced late into the night every evening.
彼女は最近料理に上り詰めて、新しいレシピを次々試している。
Lately she's been really into cooking and keeps trying new recipes one after another.
一つの趣味に上り詰めすぎると、ほかのことがおろそかになることもある。
If you get too absorbed in one hobby, other things can end up neglected.