Fetching details from the dictionary...

a little; partially; somewhat; slightly; semi-; -ish; on the ... side; a short time; a while
電車が漸遅れて到着する予定だそうです。
I plan to arrive a little late.
彼女は漸緊張している様子だ。
She seems a little nervous.
秋になって今日は漸寒くなってきましたね。
It got a little cold today, didn't it?