This paper investigates the boundedness of commutators associated with the Hardy-Littlewood maximal operator, the sharp maximal operator, and the Riesz transform in the Dunkl setting. We establish necessary and sufficient conditions for the boundedness of the commutators [b, M_α,κ] and [b, M^#_κ] on Orlicz spaces when the symbol function b belongs to a Lipschitz space, thereby obtaining new characterizations of nonnegative Lipschitz functions. Furthermore, we extend a classical result of Janson to the Dunkl framework by proving that the commutator of the Dunkl-Riesz transform, [b, R_j], is bounded from L_κ^p(R^d) to L_κ^q(R^d), where 1 < p < q < ∞ and 1/q = 1/p - β/N, if and only if the symbol b ∈ Lip(β).

The first author was supported by the National Natural Science Foundation of China (Grant No. 12301115) and the third author was supported by Zhejiang Provincial Natural Science Foundation of China (No. LZ24A010004).