Yes, our 2005 SE has an outside temperature gauge but not one for coolant.
the Jazz does not have engine coolant temperature gauge, only lights as indicators for low coolant temperature, high coolant temperature, overheated coolant temperature.
For the last two, the indicator will blink to warn the driver to take action for high coolant temperature, which is keep going at reduced speed or load, if the same indicator stops blinking and is solid, the driver should pull off the roadas the coolant temperature is at critical limit
You can have a temperature gauge displayed on a phone or tablet if you buy a £10 ELM327 Bluetooth adaptor to plug into the OBD2 plug, and have the Torquelite app on a Android phone or tablet device