  The homological property of the associated graded ring of an ideal is an
important problem in commutative algebra and algebraic geometry. In this paper
we explore the almost Cohen-Macaulayness of the associated graded ring of
stretched $\mathfrak{m}$-primary ideals in the case where the reduction number
attains almost minimal value in a Cohen-Macaulay local ring $(A,\mathfrak{m})$.
As an application, we present complete descriptions of the associated graded
ring of stretched $\mathfrak{m}$-primary ideals with small reduction number.
