How to do this in a functional way in JavaScript using Lodash?

Basically, functional style is all about composition. Here is a sample:

var get = _.curry(_.flip(_.get), 3);
var slice = _.curry(_.flip(_.slice), 3);

var comp = function(f, g) {
  return function(x) {
    return f(g(x));
  }
};

var config = {
  keywordLimit: 2
};

var program = comp(
  slice(config.keywordLimit, 0),
  get([], 'x')
)

var x = program({
  x: ['abc', 'qwe', 'sdf']
});

console.log(x);

<script src="https://raw.githubusercontent.com/lodash/lodash/4.17.2/dist/lodash.min.js"></script>

In case, this fiddle doesn't work, here's jsbin: http://jsbin.com/gicocivife/edit?js,console

Pay attention to ugly curry(flip(get)) and curry(flip(slise)). The problem is that functions in lodash has such an order of arguments that prevents you from composition. Your function expects data to work with, right? Thus, the argument for this data must be the last one. Therefore, you can compose functions. I'd recommend to look at Ramda. Not only from my point of view this is a great library for FP. Here's the same example written with it.

var config = { keywordLimit: 2 };

var program = compose(
  slice(0, config.keywordLimit),
  view(lensProp('x'))
)

program({
  x: ['abc', 'qwe', 'sdf']
});

The thing is, functions are curried by default. Thus, the partial application comes naturally. It also features Lenses, which is an awesome thing!