It’s a picture book, would have been reading it to my eldest maybe 2012.
Quite bold/bright lines and colours.
It was about a girl with a cat who was quite precious I think. It runs away or something, and when it comes back at the end it’s all dirty. I think they end up getting in touch again via a phone box?! I seem to remember it’s a Persian type cat.
We think the name of the cat is something like Mr Fuzzikins or a similar style but not sure if I’m confusing that with another story!