This is a pic from my garden looking at the neighbour’s house. And that dot in the sky is…
It’s an Orb spider, some times called a bird-eating spider (and yes, they do.) With it’s legs outstretched it would cover my open hand, easily. And they are no big deal for humans, so he can stay there as long as he likes. You can read more about it here.
Still haven’t managed to catch sight of that cuckoo in the garden, but am still thinking it sounds like a Banded Bay, and that would make sense as we have the brood host, the Common Iora, and there is a fairly wooded area at the back of our house, bordering the golf course.