Once I considered offering such a service for a select few parts.
But: shipping, and low $ per part doesn't make it worth the effort. If you're buying a $3 cpu it just isn't worth it to re-route through a testing service for several additional $ per pc. + shipping.
Now if talking about say, $100+ / piece parts, sure. But then the testing services would have to be extensive, professional, and equipped accordingly. Above my pay grade, so to speak.
But yes it would be nice if such service(s) existed.