I have just loaded the following for .223

Lapua Brass (New)
CCI Primers
Sierra 69gr HPBT
25.3gr Varget

I have just weighed the completed rounds and find overall weight variations of approx + or - 3/10 gr- Is this OK, or should I pull them & re-do?

I wouldn't worry about 3/10, it's probably in the case where the deviation is,and thats not bad. Jay

I would expect the cases to vary by several grains.
Go ahead and shoot them. It doesn't matter what they weigh, it only matters how they shoot.