Who overhauled it?
One wild card is if has ever been thru Lycomings overhaul shop, they throw away a lot of parts, cylinders always, and you might have a newer engine than you think.
You might pull a cylinder and have a look inside, especially look at the Cam followers.
You didn't mention price but I believe you can still buy a box 'o parts for less than $18K from ECI or Superior. If your price for the mid time engine is even half that and you can afford it, it go with the box 'o parts instead.
I bought a mid time Lyc reman engine planning to run it out. I knew it had not been pickled and had cyl. corrosion above the pistons, but figured a top over haul would be cheap enough. After I bought it and it stared at me for 2 years haunting me I finally resolved to split it apart and do an inspection so I knew what I had. Long story short I ended up at 18k for a completely rebuilt engine, all yellow tags, new cyls etc, done right, but at the same cost as a new box 'o parts.
If you dont get it inspected internally, or know the history of the engine personally, I'd insist on core value prices.
A lot of people have been bit on engine deals, beware.
Tim