State system? Vastly underfunded and vastly understaffed. Current wait time in my area is eight months. The child mental health service is currently getting a large bollocking here for lists of approximatley two years so I guess I'm glad I've never had to deal with that rubbish. Mind you, it's hit and miss. I managed to see a psychiatrist within 3 weeks in the area I was living last. And got through the referals list for therapy here in five days.
Private healthcare? One call to the insurers, and they tell me I'm covered. I can get an appointment quickly. Given the amount of time I would have had to sit around waiting to see a professional through the NHS, I probably would have just opted to pay to see one upfront if I hadn't had this to be honest.