Let's consider definition of reduced modules and torsion modules:
A reduced module $C$ is defined by the property that $\mathrm{Hom}(A,C)=0$ for every divisible module $A$.
(see for example A Foundation of Torsion Theory for Modules Over Geeneral Rings by Hattori)
I can not find any example about reduced module in this sense.
Please help me find some. I really appreciate your ideas!