Thanks to everyone for your replies.
If you use an OBDII reader, even a £5 Bluetooth version you can monitor the engine coolant temperature.
Do you mean something like this https://www.amazon.co.uk/Torque-Pro-Elm-327-Bluetooth/dp/B01AC7I7BO/? I must admit I haven't come across that before.
That's the sort of thing. You can find them on ebay for under £4 delivered from UK sellers, about £2.50 if you can wait for it to come from China.
www.ebay.co.uk/itm/Mini-ELM327-OBD2-II-Bluetooth-Car-Auto-Diagnostic-Interface-Scanner-NU/143134224089The coolant has to be going somewhere, and most options have been covered previously. Any half decent garage should be able to identify signs of cracked head or block, or head gasket failure, but I can't say that I've ever come across any of them on here in a couple of years, so they can't be that common on the Jazz.
Most likely is a small leak somewhere - rad, heater matrix, pipework, so that's where I start.
For leaks, look for any signs of white staining on any of the cooling system hoses, particularly around the rad cap and expansion bottle cap.
Also, get the engine and rad good and hot on a cool morning, and have a good look around the radiator and hoses with a torch, looking carefully for any wisps of steam, or even damp patches.
Any trouble demisting? Sometimes points to heater matrix.
Engine overheating can boil coolant through the expansion bottle, but a faulty radiator cap can cause the same problem. On these cars with non-pressurised expansion bottles, it can sometimes be difficult to spot - if you can't find any other cause, just replace the rad cap to rule it out.