Cylinder Head Question

He pushed on what I call the lifter. It is the pieces with the springs. It did rock a lil one rocked up to 3-4 millimeters. I only got smoke pretty much when I was first getting it going. Now only if I haven't driven it after about a week.

No offense meant here, but you're callin it wrong. If he pushed on the valve spring, then he was also puching against the valve. Sounds like he is being honest. 4mm is indeed excessive. Valve to guide clearance is on the order of less than .001". If you are not burning oil that's because your valve stem seals are working well. If it smokes only in the morning or after sitting a while, generally that is an indication of bad valve stem seals and or valve guide wear. Sounds like the guy nailed it.