Always change the oil and filter before storage, fill the fuel tank, remove the battery and charge it once a month or leave a battery tender connected, air the tires to at least 35 psi or higher if the tires are placarded at 44 psi, and protect the car from rodents. By far the most damage to cars in storage is from rodents!!!
The clock does NOT run on fresh oil in the crankcase during storage. It's about the same as remaining in the bottle as long as you don't have condensing humidity, so if the car is inside and doesn't go through a flood you can drive the car for the full oil time or mileage interval after it comes out of storage
The clock DOES run on brake fluid and antifreeze while the car is in storage.