Cute for a child, can't envisage it for an adult - walking in to an interview for a law firm for example - my name is Coco -doesn't sound professional. Just my opinion.
I tend to agree... and I also associate it with a pet's name.

There was a little girl where I worked (ELC) whose name was Coco... and yes, her mother was always wearing Chanel (bags, sunnies etc). Not really my cup of tea... too much like branding for status.