a chest freezer in the shed bottom of the garden
I expect the trouble will be that you have exported the earth from the house, and the shed is some distance away.
Inside the house you should not get a shock from the earthed casing of an appliance, because the main bonds (and probably also supplementary bonds, and lots of metallic pipes in the house) will ensure that, inside the house, you are in an equipotential zone; which means that all the earthed appliances, and probably also damp concrete floors, will be at the same potential, which means that you can touch any two of them, and there will be no voltage between them, so you will not get a shock.
Outside the house, there may very well be a difference between the potential of the ground you are standing on, and the earth wire connected to the MET in the house, which very likely will have an earth provided by the electricity company; thus you can get a shock from a nominally earthed appliance casing. The voltage may vary, and can become more or less dangerous depending on weather conditions and power usage. This problem is especially serious when there are metallic services entering an outbuilding, and in caravans which may be insulated from the earth with their rubber tyres, and so an exported earth must not be used in these conditions. Instead, a local earth spike is required.
Loss of continuity, or a loose connection, would not be the cause in such a case.
A competent electrician will know how to confirm and deal with the problem.