No feedback after numerous phone calls and emails

I recently had an accident and fortunately my car was not damaged but the 3rd parties car got damaged. After a month and a half, the 3rd party started phoning me because he tried emailing and phoning Discovery to finalize the claim but got no feedback from Discovery Insure. I phoned Discovery on his behalf and got told it takes up 4-6 weeks to finalize it’s now at 8 weeks and he still has no feedback. The 3rd party wants to take me to court about this and what more can I do. Every time I phone in I get some excuse or another instead of just letting me know exactly what is going on. What is going on at Discovery Insure ?