Green’s Dictionary of Slang

annoyed, irritated.

1919		Wodehouse ‘Jeeves and the Unbidden Guest’ in My Man Jeeves [ebook] The man was still thoroughly pipped about the hat and tie, and simply wouldn’t rally round.
1925		Wodehouse Carry on, Jeeves 7: She was perturbed, and even peeved. Her eyes had a goggly look, and altogether she appeared considerably pipped.
1940		J.G. Brandon Gang War 199: Wot the Government ’as to do worryin’ its guts abaht the likes o’ them gettin’ pipped off is beyond me.
1944		J. Cary Horse’s Mouth (1948) 192: I could see he was put out. He was pipped.
1959		G. Slatter Gun in My Hand 132: She’s pipped with her husband leaving her here.