Unemployed Frank Spencer has an appointment at the local labour exchange. When his interviewer, Mister Hooper, declares that Spencer is unemployable, the new manager, Mr Bradshaw, decides to take over, declaring, "no man is unemployable". However, Frank's previous jobs suggest otherwise...

As a high-rise window cleaner, Frank, scared of heights, tries to escape the cradle and, entangled, has to be rescued by firemen. As a security man, he loses his guard dog and while he searches for it the factory is burgled.

Hooper wagers Bradshaw five pounds that he can't find Frank a job that he will be able to hold on to for 24 hours without being fired. Bradshaw dispatches Frank to work for a removal firm, but volunteering to take charge of the van, Frank reverses over the client's furniture.

In a final attempt to win the bet, Bradshaw decides to employ Frank himself at the labour exchange. Given general cleaning and tea making duties, Frank brings refreshments to Hooper and Bradshaw, as they prepare to transmit some important data using their newly installed computer. Unfortunately, Frank leaves the tea urn next to the computer, spilling liquid into the machine and destroying it.

Bradshaw fires Spencer and settles his bet with Hooper. In a final conversation, Bradshaw suggests that Frank might consider emigration to Australia to seek out a career as a sheep farmer, saying that it's unlikely that even Frank would lose them all.