Children of Time by Adrian Tchaikovsky. The premise is that jumping spiders evolve into a complex civilization.

It cuts between humans and jumping spiders - the humans keep going into hypersleep so it’s the same humans, but the jumping spider side is like an epic and covers many centuries.

Have now finished it, it was really good in a light-hearted way.

I’ve always been fond of irl jumping spiders so imagining it is super cute.