归心似箭,垂涎欲滴,原汁原味的英文

归心似箭
impatient to get back home

垂涎欲滴
lick one‘s chops

原汁原味
original taste and flavour

anxious to return
lick one's chaps

dying to go back home(dying在这里是非常想要的意思，不是死哦)

with a watery mouth

original taste and flavor