It's a lot more reliable than the stories would lead you to believe. In the 1,000 hours or so that I operated the 310 I never had the gear re-rigged. They checked it at annual, but didn't do the full re-rigging procedure. I never had an issue with the gear. It always went up, always went down. Yes, it requires a stronger look at than say an Aztec or a Baron and the Twin Cessna gear isn't as tough (I would be more careful where I land a 310 than an Aztec), but it's not as fragile as everyone makes it out to be. Mostly the people who brake it are people who have poor taxi technique and do high side loads while turning, from what I can tell.
That one is listed as a 310C, which sounds right. So it should have early IO-470 engines, which are pretty bulletproof. The 3-bladed props means it shouldn't have the prop AD. Hours aren't bad on the engines or on the airframe. Given that, the major expense to be concerned with on that plane is going to be the combustion heater, those have issues.
If operated correctly, you could probably get the all-in expenses on that plane at around $250/hr. Depends on how you run it and how you maintain it. The other question is what items have been deferred by previous owners.
A 310 is a very good first twin. That said, one of the reasons the old ones like this are so much cheaper is because the newer ones have a bigger cabin, wing lockers, etc. etc. These are cheaper to buy because they're harder to sell.