Here are the possible solutions for they have horseshoes on their helmets clue
Answer
Clue
Relevancy
colts
Clue
They have horseshoes on their helmets
Definition
COLT, to cheat, defraud
dorags
Clue
They're sometimes worn under helmets
ringers
Clue
They're worth three points in horseshoes
dormice
Clue
They got their name from their hibernation
Definition
DORMOUSE, any member of a family of rodents related to mice
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