Clue: A sweet Yankee, close to claiming right to have wager logged (5,5)
Answer: BROWN BETTY
Explanation: A sweet Yankee, close to claiming right to have wager logged (5,5) 
BY("close to") around ("claiming") RT ("right") around OWN ("have") BET("wager")
 
B(R)(OWN BET)(T)Y
 
A brown betty is an American baked pudding.