Savage rifles are known for being difficult to cock. No, I cannot stay precisely on target when running the bolt. I can stay in position and keep the tgt in the field of view of the scope. It takes some effort to do so.
But, it could also be a sign the bolt is very dirty. Not unusual for Savages. They sometimes leave a bit of 'grit' in things. And the bolt assembly is not easy to get clean unless you disassemble it (instructions in the sticky section).
Depending on where you bought it you could take it in and see what they say.
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