Chicken Game is the fifth stage in Alcatraz, sub-chapter 17.
Rain D. is a constant threat to your units.
The Face appears as a boss.
Concentrate on using range attackers such as Dragon Cat to constantly knockback the Rain D. and along with Wall and Macho Cat of course to stall them. You also want to concentrate on killing Mooth purely for income, as spawning Bahamut Cat will greatly help on moving your team up.
Throughout the battle you will always want to keep spawning Dragon Cat and your stallers, as when you hit the enemy base, Rain D's will constantly come out. The Face should not be a problem at all in this battle if you protect your ranged cats well.