The 2008 Accords with the 4 cylinder engine had problems with burning oil. If you brought it to the dealer before running it out of oil and locking up the engine, the dealer would check the oil consumption over several months. If yours showed what they deemed excessive oil consumption (1 qt/600 miles), they would tear down the engine and replace the pistons and rings at a cost of about $1000, provided the car had under 100,000 miles.
The dealer told my brother in law, Honda was trying out some new low tension piston rings with a new piston design that year (in an effort for increased fuel mileage) that led to increased oil consumption later in life. This was due to the rings coking up with deposits and seizing to the piston. The fix was kind of a secret recall, one that you didn't get if you didn't ask. My brother in law had this done to his, and the car runs like new with no oil consumption between changes after the fix. And the engine is much quieter now.
Frequent oil level checks are always a good idea, no matter how new the car is. That is, unless you buy a newer BMW, since they eliminated the dip stick on those. Now on those you rely on an oil level sensor and a message that comes up on the dash if you are low on oil. May be a result of fewer people popping the hood and checking oil level the old fashioned way.