After Tottenham beat Arsenal 2-1 at White Hart Lane, it appeared as if the Frenchman had snubbed Allen's approach after the game, and the former Spurs striker was furious at the slight.
"He refused to shake my hand," Allen complained. "He says he didn't see me or hear me - but he's two bob he is, two bob."
However, Keown has come to his ex-manager's defence, saying that Allen was trying to goad the Frenchman further after the Gunners' loss.
"I think there's a little bit of history with Clive Allen," the Englishman said, according to reports in talkSPORT.
"A few times in the past, and I've been privy to it, he's goaded Arsene Wenger, certainly in Martin Jol's time [at Tottenham].
"I think Wenger was just trying to avoid him really, feeling as he was after that game, and I think Clive was just trying to push the point.
"He wanted a bit of eye contact because he's just won a game or just been part of the team that's won a game. Clive should know better really.
"You're looking for him to be above all that, let's hope he is in the future", Keown huffed.
Wenger himself was nonchalant about the affair, saying:"I shook the hand of the manager and the assistant manager," he said.
"How many people do I have to shake hands with? Is there a prescription?", the Frenchman mocked.