This one seems to be a mash up of “thank my lucky stars” (to be thankful for one’s luck) and “don’t count your chickens before they hatch” (don’t make plans based on future events that might not happen). My guess is that the speaker might have been thinking of her childhood, having Chicken with Stars soup on a cold winter day or in bed sick with a fever. Or perhaps she was thinking of the Chinese zodiac and the earth chicken (1909, 1969, 2029), which are lucky with money. On the other hand, perhaps she had a lucky chicken! In any event, when she said it she had to send it to me immediately as she knew it must have been a mixed up phrase. A big thanks to Jillian Strayhorn for uttering this one and sending it in!
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