Advantages are: 
In the longer lasting foodstuffs due to decreased biological action and, the constant availablity of Ice and Cold drinks. 

Disadvantages are: 
Heat is added to the kitchen area from the motor, the compressor and the heat of compression of the refigerant. 
The A/c unit will work a little harder to take care of this extra heat. This plus the cost of running the fridge, will increase power consumption which increases the Electric Bill. 
Also, she sound from the fridge and it's clicking in and out of operation.