Sockets burn out on light fixture
By "meter test", I assume you mean a voltage reading from side to base contacts. By "rewired" I assume replaced? 

Heat will expand the socket base. Pull the base tabs down to create a tighter contact. Using sandpaper, scuff the bulb ends that meet the contact. Bad connections create higher amperage draw, which yields more heat, thus burn-out. 

Again, I'm assuming that all wires are connected internally and are very secure with proper wire nuts.  Good luck.