Here are the possible solutions for they swing up and down in this puzzle's theme answers clue
Answer
Clue
Relevancy
polls
Clue
They swing up and down in this puzzle's theme answers
Definition
POLL, to assess public opinion votes
four
Clue
Number of times this puzzle's theme word appears diagonally in the grid (to complete the puzzle, shade those words plus the Down answers that begin where they meet)
Definition
the cardinal number next above three
falsestart
Clue
Athletic infraction ... or what occurs at the beginning of this puzzle's four theme answers, both across and down
switchhit
Clue
Swing both ways, and a literal hint to how four puzzle answers were created
spooner
Clue
Reverend whose name is linked to terms like "Pazz and Jop," and this puzzle's theme answers
wordsquare
Clue
Classic letter puzzle -- or, when parsed differently, a hint to three Down answers in this puzzle
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.)
aande
Clue
"Dog the Bounty Hunter" network, and a hint to the theme in this puzzle's four longest answers