Ive got a SMEG A2 and some of the gas rings go out when in use.
I can light them, they work for a few mins then they go out and wont light again. Ive changed the thermocouple and cleaned the rings.
I did notice a click sounded when the flame went out.
The click you can head is the solenoid in the gas tap ,if you have chafed the thermocouple then it will need a gas tap,you will need a gas safe engineer to fit