I was thinking more about composition than application. Thankfully, I just remembered that you can use Hoogle to search by type signature so I popped in (a -> b) -> (b -> c) -> a -> c and it directed me to (.>) which is exactly what I was thinking of in the flow package.

Flow seems like an interesting package to check out if I ever go and start using Haskell seriously.

There is also >>> for left-to-right composition, which is in base.

My favorite is Elm, which has |> and <| for application, and >> and << for composition, in the intuitive directions. It makes it easy and natural to eta-reduce/expand, when you want to.