The two players were battling for a spot in the semi-finals, with Clemens coming out on top in a surprisingly straightforward encounter.
Price was once again at odds with the crowd and came out after the break wearing ear defenders to avoid being put off by their taunts - albeit to no avail as he won just one set.
Victory puts Clemens into a semi-final tie against Michael Smith.
Smith beat Stephen Bunting 5-3 earlier in the day on Sunday.
The other match in the penultimate round sees Michael van Gerwen take on Dimitri Van den Bergh after both players won their respective quarter-final games.
Van Gerwen crusied to a 5-0 triumph against Chris Dobey, while Van den Bergh came out on top with a 5-3 win against Jonny Clayton.