Ask an actual lawyer please. Nobody here will be able to advise you without knowing the full situation and what has happened thusfar with all parties involved. There are too many unknowns including whether you agreed to pay for his excess (this is a very common request from uninsured drivers to dealerships that don't want to claim from their own insurances etc) or whether there were other agreements between yourselves that went south.
From the info you shared (and not as a lawyer but as someone who has claimed a fair few times against people who have been uninsured): As far as I am aware, he cannot come after you in his personal capacity after his car has been repaired (if this is a month back and he has claimed + car is repaired, this is a done deal). Keep a papertrail of all communications to date. HIS INSURANCE will likely attempt to recover money from you at some point, again depending on the circumstances. This is how it has worked with us in the past - and if they do a successful recovery then they refund the excess. Mechanics aside, you should only be dealing with his insurance at this point. As far as everyone is concerned he should be on his merry way with a slightly inflated premium (mine have never gone up materially after claims) and having paid his R5K excess. The insurance company themselves have advised you of this making me feel that this is closed off on their end. Can he withdraw his claim? Probably not if he has already claimed, he has already signed off and the car is already repaired and in his possession.
Again, as per the first line: You need to consult an actual lawyer either way. I just can't see him deciding to pay back his 130K - find a lawyer that is willing to take this on and then try to extract 130K from someone who doesn't have 20K or even insurance? Somehow? This is so nonsensical to me.
Please get insurance if you do not already have it. Beyond just being able to handle your repairs/the repairs of the other party it also protects you from these strange situations. Even third party cover could have prevented this and it is a few rands per month. What I believe has happened is perhaps you agreed to pay his 5K excess, he discovered he actually had a % excess and 5K is the minimum, so his 130K claim is now costing him 10-15% of the claim. Again - a very strange way of approaching this. Even if you divide that 15000 by 2 years, there is no chance his premium increased (IMHO) by 625 a month for a 130K claim that they are going to do a recovery on.