noun
egg sake; hot sake with beaten egg and sugar
A traditional Japanese drink made by mixing a beaten raw egg and sugar into hot sake. Often consumed as a remedy for colds or to warm up.
風邪を引いたとき、祖母が卵酒を作ってくれた。
When I caught a cold, my grandmother made me egg sake.
寒い夜には卵酒で体を温めるのが好きだ。
On cold nights, I like to warm up with egg sake.
Compound of 卵 (tamago, 'egg') and 酒 (sake, 'alcohol'). The reading たまござけ is a straightforward combination.