Green’s Dictionary of Slang

1. (Aus.) nagging; also as v., to complain.

1901		Bulletin (Sydney) 21 Sept. 10/1: Solgoz [...] seems to have been a weak man driven to the wall, and astonishing the boldest by his cruel deed. [...] So the dripping of his wife wore out our own Jimmy Governor’s patience.
1945		D. Bolster Roll On My Twelve 21: If ’e found a bloke drippin’ about a job ’e’d bin give to do, ’e’d say: ‘All right son. While you’re doin’ that they can’t give you nothin’ else to do can they?’.
1980		T. McClenaghan Submariners I ii: You’re as bad as my missus always dripping.

2. sentimental nonsense.

1943

R. Llewellyn None But the Lonely Heart 346: It’s no good of me going down there and talking a lot of dripping, is it?