This rarely-shown gem of a movie is a great early showcase for both Vivian Lee and Rex Harrison, before either became a famous star. It is also a prime example of a genre of movie that the British do very well and which Hollywood rarely ever touches: political satire. When Hollywood does try this sort of thing it us usually heavy-handed. Not so here. Everything is handled with a light touch, and it's all very "tongue-in-cheek".
Cecil Parker is the pompous and arrogant mayor of a small Scottish town, who is also running for a seat in Parliament (it's the sort of part in which Cecil Parker always excelled). While the mayor is busy being interviewed by a cub reporter on the local newspaper (Rex Harrison), the mayor hasn't time to be bothered with listening to the plea of an impoverished woman (the aptly-named Sara Allgood) whose dog had been impounded by the police for non-payment of it's license fee. Harrison decides to include the incident in his newspaper article, and events snowball from there.
"Storm in a Teacup" is exactly that, so don't expect "All the King's Men", "The Best Man", "Advise and Consent" or "Seven Days in May". However, it is very funny, and well worth a look if it should happen to come around again.