Hapology is a half-hearted apology.
It represents an apology which doesn't mean much. Like saying 'sorry' when you don't mean it.
For example, you've just had a round of beer with your friends and when you reach home your wife vents her fury on you! She is almost about to hit you with your baseball bat when you say sorry to avoid physical damage.
That is a hapology.
I had to tender an hapology for hitting that fat lady, but really, give me a chance and I'll do that again.