Eddie is correct 100%. Was told 12 months ago my meter needed changing, so specifically asked if they (SSE) intended to change to Smart meter, which I would have resisted. Meter in the property was only ten years old, which seemed no great age. Was advised that the meter, which was made by Siemens was problematic. The technician making the change said that the LCD display on this type was failing, meaning the meter reader couldn't see it.
The safety check is to ensure earthing and leakage of house circuits are acceptable. Nothing to do with whether you have old style fuses or not.