I like the 310 tools and still use them for some calibers and situations.
Yes, the priming die is mostly caliber specific, but there may be a number of other calibers that will work. Shell bases are often common among many different calibers.
Look at the dimensional data and see if its the same as the 30-06 class, or as 30 cal said, compare it to 220 swift.
I bought a box of assorted 310/Truline dies, maybe 5 or 6 calibers worth ($40 seemed like a fair price). They were for the Truline press, but with just the addition of priming dies, I had a number of usable die sets for 310 handles. They all took the common 30-06 base size, which Lyman still makes, and they were pretty reasonable. The individual dies in various calibers are available on ebay and other places. Theres a place that specializes in 310 stuff, but after the current owner bought the business a few years ago, prices about doubled from the previous owners prices.
For you guys that dont care for the 310/Trueline dies, let me know what you have, I like them and will pay shipping and a reasonable offer if its anything I can use, like a 348 handle.
I actually like priming with the 310 priming die for low volume loading. I also like the M type expander. I use my 30-30 set to load my extra-light loads.