For the last day or so there had been a certain amount of coolness in the home over a pair of jazz spats which I had dug up while exploring in the Burlington Arcade.
In the story, the narrator describes a tension in the household that has been brewing over the past day, primarily due to a pair of jazz spats he found while wandering through the Burlington Arcade. This discovery seems to have stirred some unease among the household members, indicating that the spats may not be universally appreciated.
The reference to jazz spats suggests a clash of tastes or conflicts in the social dynamics at play, typical of Wodehouse's humorous and whimsical storytelling. The situation underscores the light-hearted yet complex interactions that define the relationships between the characters, adding a layer of comedic tension to the narrative.