Here are the possible solutions for they have bills and appear on bills clue
Answer
Clue
Relevancy
eagles
Clue
They have bills and appear on bills
Definition
EAGLE, to score two under par in golf
debts
Clue
What one with "bills, bills, bills" has
Definition
DEBT, something that is owed
rockbottom
Clue
With 133, the name of the band whose members appear in the theme answers. (They disbanded in 2012 after raising millions for literacy, but they're reuniting this weekend for one last concert.)
newt
Clue
Gingrich who said "females have biological problems staying in a ditch for thirty days because they get infections and they don't have upper body strength"
Definition
a tailed amphibian of the salamander family, also EWT
layersofmeaning
Clue
What words that are fun to clue in crosswords usually have ... and what appear in each of this puzzle's four corners
