adverb
on the way; as one goes
Describes something happening while moving or in the course of going somewhere; often used in literary or narrative contexts.
ゆくゆくは道すがら、美しい景色を眺めた。
On the way, I enjoyed the beautiful scenery as I went.
adverb
in the future; someday; eventually
Commonly used in the pattern ゆくゆくは to talk about future plans or eventual outcomes; neutral in register.
ゆくゆくは自分の店を持ちたいと思っています。
I hope to have my own shop someday.
この経験はゆくゆく役に立つだろう。
This experience will be useful eventually.