[Savage GT]

If you have some Vernier's , measure the screws width across the threads.
If it is 2.2mm for example, you could try a 2.4mm screw (if the post has enough diameter to allow this without weakening it).

Another alternative is to fill the post with epoxy (my personal favourite being JB Weld Cold Weld), stick a thin rod/piece of fuse wire/cocktail stick down the hole to smear it around and remove to leave a slightly smaller hole.
Once dry you can re cut the thread with the original screw, or if required carefully open up with a pin vise drill to a little smaller than the screw.