Green’s Dictionary of Slang

sentimental, idealistic, ‘soft’.

1882		E. Nye Forty Liars (1888) 49: Wappyjawed Chris tried it with no better success, and so did Polygot Pete and myself. [Ibid.] 141: Followed by the most jewhillikin gosh-all-hemlock exposition of camels with twisted tails, wappy-jawed giraffes and speckled hyenas.
1959		A. Sillitoe ‘Loneliness of the Long-Distance Runner’ Loneliness of the Long-Distance Runner (1960) 16: The governor of this Borstal who spouts to us about honesty and all that wappy stuff.