Its up to the owner of the gun to figure out whether "its OK" or not.
I've never heard of .308 causing any sort of catastrophic failure in 7.62 rifles. While it may be true that .308 has a higher SAAMI-spec
rating than 7.62 NATO, that certainly does not mean all commecial .308 is loaded to maximum SAAMI spec.
I have heard of commercial .308 (Winchester white box IIRC) not reliably extracting from some CETME and/or HK-type (delayed-blowback) rifles. Some reports indicated the delayed-blowback guns literally ripped the case heads. Its not clear to me whether the reports were head-separations, or the extractor ripping through the rim before the case would let go of the chamber. If indeed the .308 had higher pressure, it would be my opinion that the "brass not letting go" is a likely cause. Moreover, if you ever got your hands on Pakistani ammo designed especially for the fluted 7.62 chamber, you will notice a waxy coating on the ammo. This is another let-go-of-the-chamber feature you won't find in Remington .308 ammo bought at Dick's Sporting Goods.
Similarly, I have heard of 7.62 ammo not reliably extracting from DPMS LR-308 type rifles. Whether this is a function of too little gas pressure from the foreign-made 7.62 milsurp ammo, or is a function of external dimensions of the ammo, I do not know.
I measured various milsurp 7.62 ammo. One batch of Malaysian linked machine-gun ammo significantly exceeded the conventional .308 spec of 1.630" from the base of the cartridge to the datum-line on the shoulder. The only .308 I had on hand at the time of my measurements was a box of Federal Gold Medal .308. The Gold Medal measured within about 0.002" of the measurements I was getting for several of the various milsurp 7.62. I wrote a "report" of sorts on these measurements. You can read my report at
http://www.falfiles.com/forums/showthread.php?postid=2160133#post2160133
One might speculate that third-world machine-gun ammo tends to be of greater "headspace" dimension (longer from base to shoulder datum-line) as the guns used by those countries are more worn-out than brand-new American guns. So much for a "standard" NATO spec.
Here's a quick summary of the "report."