Chambering question?

Black Jack

CGN Regular
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Location
Ottawa
Ok, made myself some tools for trueing and rechambering my Remington 700, .308. I have a lathe question. How accurate is "acceptable" to be able to re-chamber. With a test bar between centers, I have .001 of run out with 14" test bar. Now I will rechamber from the steady rest since my headstock is too wide for my barrel to stick out enough. Normally I should put the barrel in the 3 jaw chuck (which is .001 run out) and hold it with my tailstock. Then put the steady rest with a couple of indicator to make sure nothing moved during the switch to the steady. Now is this "good enough" to be able to make accurate chambering or I should work more at making sure my run out is .000 at the tailstock where my barrel end will be located on the bed. Second thing, should I use a floating reamer holder or using my tailstock live center is good enough? I have watched a gazillion videos on youtube about chambering. Some guys use the floating holder, some others are not. Nobody mentions anything of how straight their lathes are. So, guys that do chambering, what are your setups run out?
 
I've always used a floating reamer holder with the barrel between centers to start with, followed up with a stead under the chambering end when the reamer hold is used.
I don't recall the amount of run out off the top of my head. I figure with the floating holder, it'll just follow the bore anyways.
 
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