Green’s Dictionary of Slang

1. (Aus./N.Z.) pregnant.

1913		Sport (Adelaide) 8 Nov. 7/3: They Say [...] That Mrs. F. is still cackling like an old hen, and it is time she went clucky.
1941		Baker Popular Dict. Aus. Sl.
1955		N. Pulliam I Travelled a Lonely Land (1957) 231/2: clucky – pregnant.
1980		Maledicta IV:2 (Winter) 197: If, though, she should be afraid of getting clucky [...] she may be satisfied with French kissing, French tricks or a flying 66 (rhyming slang on French tricks).
1988		McGill Dict. of Kiwi Sl. 29/1: clucky showing signs of wanting children, being pregnant, or being fussy about children, akin to the clucking of a broody hen.
2003		McGill Reed Dict. of N.Z. Sl. [as cit. 1988].

2. fussing over babies and children.

1985		B. Robinson Aussie Bull 14: The fact of life is, that the ‘chick’ you marry soon turns ‘clucky’ and you start getting ‘hen pecked’.
1986		R.G. Barrett Real Thing 71: Norton handed the baby to one of the policewomen making them both go a bit clucky.
2010		L. Redhead Thrill City [ebook] ‘Are those your kids? They’re gorgeous.’ I tried to appear clucky.
2017		T. Spicer Good Girl Stripped Bare 133: ‘You’ve been clucky since coming back from overseas’.