Green’s Dictionary of Slang

weeny adj.

tiny.

1902		Ade Forty Modern Fables 111: I like your Style, but I’m a weeny bit Afraid of you.
1917		T.W.H. Crosland ‘The Diners’ in Coll. Poems 127: (Not just the weeniest bit? / The waiting here’s absurd: / When will they bring the bird?).
1922		Joyce Ulysses 225: – ...At last she spotted a weeny weeshy one miles away. And what star is that Poldy? says she. By God, she had Bloom cornered.
1946		(con. 1914) B. Marshall George Brown’s Schooldays 208: We’d both known each other ever since we were weeny weeny little kids.
1989		H. Rawson Dict. of Invective (1991) 412: weeny, meaning a child (from 1844), and ultimately from weeny, meaning something small (1790).
1996		K. Lette Mad Cows 80: A weenie little ankle-biter like you gets up to eight hundred pounds plus residuals for a TV commercial.