International crook Armstrong flees post-war Tangier with priceless forgery plates and is pursued to London where he accidentally swaps coats in a barber's shop with film actor Chuck Collins, setting off a train of events.
After a bunch of no-hopers approaches an employment agency, the anarchy mounts as they do a series of odd jobs, including a chimp's tea party, trying to stay sober at a wine tasting… and demolishing a house.