Anniversary's are beautiful well built tables with modern rail construction.
$4500.00 is towards the top end of the price range. It includes cloth. Simonis or off brand?
Does it include moving the table to your house and assembly or just the cloth and you're responsible for move/install?
For that price it should not need any work other than level and recloth.
At the newest it would be around 60yrs old. You need to really check it out before you buy.
Check the slate seams for chips or cracks. Sometimes the dowels will split the slate.
Check the aprons. Its common for Anniversary's to have the bottom edges of the aprons split off.
Check the slate backer boards and the underside of the rails. Stapling over the years can erode the wood.
If its an early model the pockets nail in. Check to see if the wood is nailed out.
Check the cushions and pocket facings. If the facings are original they may be dry rotted and falling apart.
Cushions are likely to be ok, but may need to be re-glued to the rail.
If the cushions need replacement it is a can of worms because that profile is no longer produced.
The subrail angle needs to be adjusted to accept a modern cushion profile.
It is very common for the rail bolts to be over torqued (they only require 10-12 ft lbs)
Make sure the figure 8 nut plate screws are not stripped out.
The figure 8 plates are recessed into the rails. Over tightening rail bolts pulls them flush with the slate and strips the screws.
Thats all I can think of off the top of my head.
Good luck and enjoy whatever you get.
These are Sport King rails but you get the idea with the staples, facings and cushions.
No figure 8 plates on these rails
The rubber on these is ok but needs to be glued in places. Facings (thin black strip covering the transition from cushion to wood inside the pocket) are dry and need replaced.