Hi, I've used the MOS transistors in subthreshold region in current mirros and many other stuff.
One of the major uses of this mode is in neuromorphic electronics.
I woul recommend you the following refrences:
C. Mead, “Analog VLSI and Neural Systems,” Reading, MA: Addison Wesley, 1989
E. Vottoz, and J. Fellrath, “CMOS Analog Integrated Circuits Based on Weak Inversion Operation,” IEEE Journal of Solid-State Circuits, Vol. SC-12, 1977
T. Gotarredona, B. Barranco, and A. Andreou, “A General Translinear Principle for Subthreshold MOS Transistors,” IEEE Transactions on Circuits and Systems, Part I: Fundamental Theory and Applications, Vol. 46, May 1999
S.Liu, J.Kramer, G.Indiveri, et. al., “Analog VLSI: Circuits and Principles,” MIT Press, 2002