  We proceed to study infinite-dimensional symmetries in two-dimensional
squashed Wess-Zumino-Novikov-Witten (WZNW) models at the classical level. The
target space is given by squashed S^3 and the isometry is SU(2)_L x U(1)_R. It
is known that SU(2)_L is enhanced to a couple of Yangians. We reveal here that
an infinite-dimensional extension of U(1)_R is a deformation of quantum affine
algebra, where a new deformation parameter is provided with the coefficient of
the Wess-Zumino term. Then we consider the relation between the deformed
quantum affine algebra and the pair of Yangians from the viewpoint of the
left-right duality of monodromy matrices. The integrable structure is also
discussed by computing the r/s-matrices that satisfy the extended classical
Yang-Baxter equation. Finally two degenerate limits are discussed.
