A double scaling limit can be defined in string theory on a Calabi-Yau (CY)
manifold by approaching a point in moduli space where the CY space develop
s an isolated singularity and at the same time taking the string coupling t
o zero, while keeping a particular combination of the two parameters fixed.
This leads to a decoupled theory without gravity which has a weak coupling
expansion, and can be studied using a holographically dual non-critical su
perstring description. The usual "Little String Theory" corresponds to the
strong coupling limit of this theory. We use holography to compute two and
three point functions in weakly coupled double scaled little string theory,
and study the spectrum of the theory in various dimensions. We find a disc
rete spectrum of masses which exhibits Hagedorn growth.