Check all action and scope screws, including the base mount screws. All screws must be tight, but not over tightened. Clean the bore to remove all copper fouling. Check the crown for damage. If a problem persists, try a second scope and see if that resolves the issue. As a last resort check the bedding as advised above. When you shoot, is the barrel in contact with the rest, or is the rifle rested on a hard surface?
Does the rifle continue to shoot factory ammo acceptably? Do fired cases look normal? Is ejection, feeding, and bolt lock up normal? Are the cases in good shape, or are primer pockets getting loose, and cracks beginning to appear in the case body? If you are using VLD's, boat-tail spitzers, or heavy for caliber bullets - try a shorter bullet with a longer bearing surface, perhaps a 55 gr flat base. Is the powder you are using compatible with the bullet weight?