Jake is buying a candy bar that costs $0.52 and a drink that costs $1.20.

If he gives the clerk $2.00, how much change will receive?

The total cost of the candy bar and the drink is $0.52 + $1.20 = $<<0.52+1.20=1.72>>1.72.

Therefore, Jake will receive $2.00 - $1.72 = $<<2.00-1.72=0.28>>0.28 in change. Answer: \boxed{0.28}.