I get an infinite loop if i enter a char/string during the switch statement, so i made an exception to catch anything other then integers. But, i still get the infinite loop. I may be doing something wrong so any help would be great.

#include <iostream>
#include <string>
#include <conio.h>
#include <exception>
#include <typeinfo>
using namespace std;

class list
{
private:
	struct node
	{
		string data;
		node *next;
	}*head, *tail;

public:
	list() : head(0), tail(0) {}
	~list();
	void push_front(string &d);
	void push_back(string &d);
	bool isempty() const;
	bool pop_back(string &d);
	bool pop_front(string &d);

	friend ostream &operator<<(ostream &, list &);
};

list::~list()
{
	node *temp = head;
	node *tmp;

	while(temp != 0)
	{
		tmp = temp;
		temp = temp->next;
		delete tmp;
	}
}

bool list::isempty() const
{
	return head == 0;
}

void list::push_front(string &d)
{
	node *temp = new node;
	temp->data = d;
	temp->next = 0;

	if(isempty())
		head = tail = temp;
	else
	{
		temp->next = head;
		head = temp;
	}
}

void list::push_back(string &d)
{
	node *temp = new node;
	temp->data = d;
	temp->next = 0;

	if(isempty())
		head = tail = temp;
	else
	{
		tail->next = temp;
		tail = temp;
	}
}

bool list::pop_front(string &d)
{
	if(isempty())
		return false;
	else
	{
		node *temp = head;

		if(head == tail)
			head = tail = 0;
		else
			head = head->next;

		d = temp->data;
		delete temp;
		return true;
	}
}

bool list::pop_back(string &d)
{
	if(isempty())
		return false;
	else
	{
		node *temp = tail;

		if(head == tail)
			head = tail = 0;
		else
		{
			node *current = head;

			while(current->next != tail)
				current = current->next;

			tail = current;
			current->next = 0;
		}

		d = temp->data;
		delete temp;
		return true;
	}
}

ostream &operator<<(ostream &output, list &L)
{
	list::node *temp = L.head;

	while(temp != 0)
	{
		output << temp->data << endl;
		temp = temp->next;
	}

	return output;
}

int main()
{
	list LL;
	int choice;
	string name;
	int temp;

	try
	{
		do
		{
			cout << "Enter choice: " << endl;
			cout << "1. Push_front." << endl;
			cout << "2. Push_back." << endl;
			cout << "3. Pop_front." << endl;
			cout << "4. Pop_back." << endl;
			cout << "5. Quit." << endl;
			cout << "$ ";
			cin >> choice;
			if(typeid(choice) != typeid(temp)) //here
				throw choice;
			else
			{
				switch(choice)
				{
				case 1:
					cout << "Enter name to save" << endl;
					cout << "$ ";
					getline(cin, name);
					getline(cin, name);
					LL.push_front(name);
					cout << LL;
					break;

				case 2:
					cout << "Enter name to save" << endl;
					cout << "$ ";
					getline(cin, name);
					getline(cin, name);
					LL.push_back(name);
					cout << LL;
					break;

				case 3:
					LL.pop_front(name);
					cout << LL;
					break;

				case 4:
					LL.pop_back(name);
					cout << LL;
					break;

				case 5:
					break;
				}
			}
			
		}while(choice != 5);
	}catch(...)
	{
		cout << endl << endl;
		cout << "error... that choice is not on the system." << endl;
		_getch();
	}

	return 0;
}

Line 155 isn't going to catch the problem. Try changing line 155...

if(!cin.good()) //here

Your cin stream is corrupted when the user enters a non-digit. You need to clear the stream, output an error message, then let the user try again. The problem isn't thht the user entered an invalid choice. The problem is that the user entered a non-digit. The >> operator cannot recover, so you need to clear it.

http://www.cplusplus.com/reference/iostream/ios/clear/

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