Recapping a worn out tyre is not safe if you plan on exceeding 80 mph or higher. It is not safe at all. That’s when caps generally start coming apart. Recapping is not advisable even if they still do it. There are many discount tyre dealers out there where you can find a good deal with a warranty. Also, there is peace of mind knowing the fact that the tire is new and so much safer.
It depends on who will do the job. Some recap tyres wouldn’t last long because the recapping job was not done properly. It also depends on how you use it. If it is for everyday transportation with heavy load then recapping is not a good idea. Make sure if recapping is still done with standard car tyres. If they do it, check the price difference. You probably can buy a cheap set of new tyres for the price of getting old ones re-capped. If you only need one tire then look around for used tyres.