There are tons of tutorials on how to curry functions, and as many questions here at stackoverflow. However, after reading The Little Schemer, several books, tutorials, blog
They can make code easier to read. Consider the following two Haskell snippets:
lengths :: [[a]] -> [Int]
lengths xs = map length xs
lengths' :: [[a]] -> [Int]
lengths' = map length
Why give a name to a variable you're not going to use?
Curried functions also help in situations like this:
doubleAndSum ys = map (\xs -> sum (map (*2) xs) ys
doubleAndSum' = map (sum . map (*2))
Removing those extra variables makes the code easier to read and there's no need for you to mentally keep clear what xs is and what ys is.
HTH.