  We initiate the study of (2,0) little string theory of ADE type using its
definition in terms of IIB string compactified on an ADE singularity. As one
application, we derive a 5d ADE quiver gauge theory that describes the little
string compactified on a sphere with three full punctures, at low energies. As
a second application, we show the partition function of this theory equals the
3-point conformal block of ADE Toda CFT, q-deformed. To establish this, we
generalize the A_n triality of \cite{AHS} to all ADE Lie algebras; IIB string
perspective is crucial for this as well.
