Yukine is not staying past sunset.

But before that, he can be found lingering around, quietly listening to conversations. He's mostly just here to make sure that the shinki are doing okay.

Should any shinki (or god) want to discuss anything with him, he's attentive to being approached. (This time, he's just not going as all-out as he did at the start. It's exhausting.)
He's pretty sure that people would have heard through the grapevine who he is, and his 'yuki' mark is clear on his shoulder blade.