I have mentioned Soda before – they are a modern tech company that sells really clever, problem-solving things. I have from them a de-bobbler that actually works and a stylish clothes-steamer. It really is worth having a poke about here if you very much need a gift for a difficult “has everything” person.
I was also recently given by them a clever thing by a brand called Bandolier, which is a sort of tiny weeny bag that holds your phone and 2 credit cards and that’s it. It also comes with a Chanel-ish gold chain strap. I am totally obsessed by mine.
I’m not crazy about my phone, at times I actively detest it, but if I don’t know where it is at all times, especially when I’m out I can descend into un-stylish panic very quickly.
If that’s a bit much, they do other phone cases that come with straps, like this by Xou Xou.
Anyway have a poke about and you might get lucky.