you need to understand how these systems work before you know which one saves more fuel....
Basic Air Conditioning:
in a regular car air conditioning system - you manually set the temperature dial to various degrees of blue & red depending on how whether you need cold air or warm air to flow in the cabin.
the volume of air-flow is controlled by the position of the fan selector switch.
in addition, you have a manual selector which directs the air-flow towards the windscreen, floor or cabin of the vehicle.
depending on the levels to which the switches/dials have been set, the air conditioning unit pumps out cold air constantly (hot air, if heat is selected, in which case the air conditioning compressor is Off).
as the interior temperature drops (or rises), one has to adjust the settings to attain a proper temperatures.
Climate Control:
a climate control system is an advanced air conditioning system. it allows the user to pre-set a certain temperature in the vehicle cabin and accordingly it alternatively pumps in hot and cold air to keep the temperature level. ultra-violet sensors are installed to detect ambient temperatures.
a climate control system will always have an Auto function - when desired temperature is selected by the user, the system automatically varies the amount air-flow throughout the vehicle. a directional flow selector and a fan speed selector are also installed - in case the user desires to reduce air flow or direct air flow towards certain parts of the cabin.
climate control systems have an ECON or AC-Off button which kicks-down operation of the system so that the system operates only above certain temperature levels. however, the system is always On - unless completely shut-off using the Off switch..... thus, fuel is always being consumed by the system (less when the ECON switch is activated).
while an air-conditioning system occassionaly kicks-off the compressor when temperature lowers below a certain level, a climate control system constantly uses the compressor and heater to maintain air flow. as the compressor is constantly On, more fuel is consumed...........
an excellent description on Climate Control and Air Conditioning has been given here -
Ford Scorpio - Air Conditioning