I created https://github.com/JuliaFunctional/CompositionsBase.jl so that packages dealing with morphisms can share symbols like ⨟, compose, and opcompose (an ASCII alias of ⨟). As we discussed in JuliaFolds/Transducers.jl#67, my motivation is to use this from Transducers.jl. Do you want to use it from Setfield?
I also invited you to the organization so that you can tweak CompositionsBase.jl directly if you need to. Do you want to co-maintain it?