〜なりとも
at least (a little), even just
Small amount (少し, 一目, わずか, 多少) + なりとも
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なりとも after a small amount means "even just that much, at least": 少しなりとも、お役に立てれば幸いです, "I'd be glad to be of even a little help".
The amount is modest (少し, わずか, 多少, 一目, 一日) and the second half is a hope or wish: 会いたい, 幸いです, 早く完成させたい, or 探している.
It's formal and humble, and the everyday version is でも: 少しでも, 一目でも. It often pairs with せめて (N2), "at least".
Compare たりとも, which follows 一 + counter with a negative, "not even one". Don't confuse it with なりに (N2), "in its own way".
Examples
少しなりとも、お役に立てれば幸いです。
I'd be glad to be of even a little help.
一目なりとも会いたい。
I want to see her, even if only for a moment.
わずかなりとも、寄付をしたい。
I'd like to donate, even just a little.
一日なりとも早く完成させたい。
I want to finish it even one day sooner.
多少なりとも経験がある人を探している。
We're looking for someone with at least some experience.