Check the alignment. (Dillon gives you the tool for free, just ask for it.)
The platform alignment tool is no longer shipped out to customers.
Dillon simply tells you to lower the ram and use the primer slide to align the ram. Then, raise it fully and verify (visually) that the platform aligns with the toolhead.
With the play that's in the toolheads, the press will "self-correct" for minor misalignment (up to 0.010" or so).
Check for a worn column/frame fit. If the old owner didn't lube the arms he probably didn't lube the column either. How to check? Easy. Lower the arm, which raises the ram. Stop just short of the top & try to wiggle the head rotationally. A very small movement is fine, more than a little & you have a problem.
Rotating the ram/platform will tell you how tight the bottom pivot and toggle linkage is. It won't really tell you much about the ram and main bore.
To check for wear in the main bore:
Clean the exposed portion of the ram, while running it up and down a few times.
Then grab the bottom of the ram and move it front-to-back and side-to-side. It should feel nice and tight.
Raise the ram, and repeat the test on the top of the ram.
If there's slop, it probably wasn't maintained well.
And...
Note the lubricant (if any) that the previous owner was using. Dillon 550s should be lubricated only with a quality grease (preferably containing Moly-B) on the ram and pivot pins. If the press has been lubricated with oil, it will have more wear than a comparable greased press. Oiled presses will still run well, and should have plenty of life left in them (if otherwise maintained properly); but they will have more wear - even if not readily apparent.
If you DO find a press that has galling on the upper pivot pins and bores, don't be too scared as long as the arms still move and aren't grinding. Make a low-ball offer on the press, and tear it apart. Some quick work with emery cloth and re-lubricating with a quality grease can get even some bad cases back in business.
This ("Gen I") 550 galled and locked up on the right side. Pictured, it has 44.8 lbs hanging from the one link arm.
Even with another bag of shot, for 69.8 lbs total, the arm would barely move.
Once the right tools (large nails and a bolt) were located, tear down was quick and easy, and the press was back in business after about 1 hour's work with 600 grit cloth on the pins and bores.
It ran smoother after the 'repair' than it did brand new.
(Right pin is hollow. Left pin is solid. -- Remove ram. Drive left pin out [with a tool running through the right pin]. Drive right pin out. Dissembly done. ...It's that easy.)
That press was sold with
full disclosure for $350, even being a 'Gen I' and having been poorly maintained for at least 15 years prior to me obtaining it.