wake-up sweets; post-nap candy
A small treat given to a child after waking from a nap, often as a gentle incentive or comfort. The term is primarily used in family or childcare settings.
See also: おめざ
After the nap, I gave the child a wake-up candy.
I keep small cookies ready as a post-nap treat.
From お (honorific prefix) + 目覚まし (waking up), literally 'honorable waking-up'. The term is a noun form of 目覚ます (to wake up), referring to something given upon waking.