In every round of the competition, the match-ups are played as one-off doubles matches, and Clayton believes his and Price's rugby experiences gives them an edge.
"We go out as a team, and I think the rugby background helps," said Clayton.
"We've played in team games before, and I know rugby is completely different to darts, but it is the team mentality.
"We believe in each other and you have to believe in your team-mate."
While both Clayton and Price have Welsh aspects to their standard darts jersey, 'The Ferret' says there is something special about representing the country at the World Cup.
"There's no better feeling than representing Wales," added Clayton.
"Being a Welshman, I'm so proud when I put that jersey on.
"No matter what sport you play, if you can represent your country there is no better feeling."