Green’s Dictionary of Slang

(Aus.) to subject to puritan, censorious standards.

1910		Truth (Perth) 16 July 12/8: When we find such things in Sidney Which has such a pious name. / Which are wowzered out of facings, / Till it’s almost wowzed to death.
1915		Sport (Adelaide) 15 Jan. 5/5: Ole old cove who prates and wowsers / As a red ’ot temperance snag.