old-secret-santa-matcher.js

function matchPeople (list, idx) {
  var randomNumber = Math.floor(Math.random() * list.length);
  if (list[randomNumber] === list[idx]) {
    return matchPeople(list, idx);
  }
  else {
    idx++;
    $scope.match.push(list[randomNumber]);

    if (list.length === 1) {
      return;
    }
    else {
      var clonedList = _(list).cloneDeep();
      clonedList.splice(randomNumber, 1);
      return matchPeople(clonedList, idx);
    }
  }
}

secret-santa-matcher.js

function matchPeople(list, matches) {
  if (!list.length) {
    return;
  }

  var randomNum = Math.floor(Math.random() * list.length);
  if (list[randomNum] !== matches[randomNum]) {
    Array.prototype.push.apply(matches, list.splice(randomNum, 1));
  }

  return matchPeople(list, matches);
}