In this paper we show that Montesinos links of the form L(1/2, 1/2, p/q;e),
which we call (2,2,r)-Montesinos links, have finite involutory quandles. This
generalizes an observation of Winker regarding the (2, 2, q)-pretzel links. We
also describe some properties of these quandles.Comment: 19 pages, 8 figure