Yes, u should keep playing since games are still salvagable and u still might win
Resigning if your Queen is going to be taken

You've opened a real can of worms here. Arguments have raged on other threads for 100's of posts on when to resign & the ettiquette for it.
I have my opinion on it but I'll let this run for a bit before I offer it.
So pull up a chair, grab a beer & watch.
This should be fun!
In most circumstances, loss of one's Queen will lead to defeat, if it means a significant material disadvantage (it will not always do so - the player losing his Queen may be a long way ahead on material at that point). Speaking personally, I don't see that you are likely to learn much or gain from sodiering on to the end with such a handicap. I am too sore a loser to tolerate such a situation and will resign instead. Having said this, I have won by Queen sacrifices before.

Depends on the time control and ability of opponent.
In my last game, my opponent was ahead in material yet resignation was appropriate.

Thanks for your responses! At present I play 14 day games so as not to have too much stress from the time limits. This enables me to have a few games on the go at any one time. As a beginner and only just starting to grasp that there are underlying principles, in the actual games I try to solve the puzzle of what might be the best move at each move, often 'to salvage what I can from the wreckage'! Surprising to hear from Snookslayer that in Blitz you rarely quit but in other formats you do! Cheers to QueentTakesKnightOOPS, in the Aussie sunshine from a drenched UK...

If you just drop a queen with no counter play its probally respectful just to resign at that point but you surely have the right to play on

When you start out, play games through. You still have a lot to learn, and presumably your opponent does too. Everything is salvagable at first, and you can learn new tactics to fight back or you may find interesting maating patterns.
Don't start resigning until you have become an above average player, and then only resign when you have a very high confidence that your opponent can convert the advantage to a win. So your first resignations might be due to queen losses that have no positional compensation. But be very stingy with these resignations until you have played so many games through at your level that you've seen it is pretty much hopeless.
Eventually, at master levels you will find resignation at rook and other piece levels fairly common, but you will also have enough knowledge to know when a piece sacrifice gets appropriate positional or tactical compensation that you can play it through. Pawn losses are rarely automatic, but when you can see the endgame simplification will lead to a lost game, resignation is appropriate.
So this is all about level. If you've been playing for years and are a regular club level player, a queen loss without a followup attack should be a resignation. But when starting out, play through all of your games so you can learn any more lessons the game still has in store. And even when you are seeing yourself a better player, always be aware that queen sacs are still not automatic resignations - even at the grandmaster level:
http://www.youtube.com/watch?v=lscDBdYBpSo

Great youtube link from ex0du5, thanks, very entertaining and informative re carrying on without a Queen by GM,Tal, with a masterplan taking a risk.

If your opponent don't have a huge attack on you, you shouldn't resign. Your opponent could make a mistake just as you and could lose his/her queen.

I have mixed feelings on this topic. If my opponent drops their queen and wants to play on, fine. However, I don't really enjoy spending the remaining moves picking off their pieces until I see a way to checkmate them (Yes, I lose the occasional game, and that's less enjoyable). On the other hand, it doesn't hurt me to finish the game if that's what my opponent wants to do.
If I drop my queen, I don't want the agony of watching my opponent pick off my pieces one by one. I don't think that there is anything to be learned because the remainder of the game does not involve subtle techniques. It's just a brute force win for my opponent.

I would certainly never play on just so my opponent can have the pleasure of playing out an easy win, thats just silly. At the very least I would charge by the hour for this service.

It's certainly a hard punch in the gut to lose your queen, but I've managed to salvage games out of it anyway... and it's a very satisfying feeling when you are able to do that. And this comes from a guy who is horrible at the game so far.

I remember once I at my buddys' place playing Chess.com. I'm on my laptop sitting on the couch, with the mouse resting on my knee. In the middle of a very delicate game. Walking a tightrope not to be blown off the board.
Meanwhile, I got this noob sitting next to me, watching me play, offering dumb suggestions. I'm just blowing him off, politely as I can.
Then he suddenly "oh! Oh! You gotta move this guy over here!!" As he's pointing, he leans closer, draping his fat gut over my hand/mouse/knee. I'm trying to pull it out. I watch in horror as the cursor goes straight to my queen, picks it up, carries ir across the board, and drops it on a square where it can be taken by any of 3 pieces.
I said something nasty to this guy, and tried to resign before my opponent could even respond.
Funny part was, just as I clicked resign, my opponents move registered, he didn't even take the queen!
Lol
I am fairly new to chess. My question is In response to a discussion with another more seasoned chess player. So far I always play until the end of the game, bitter or otherwise! If a Queen is taken why resign at that point? Doesn't this take away the delight from your opponent at managing to achieve this move? Isn't it better to carry on stoically with the rest of the game and all its intricacies? Aren't these situations the bitter sweet nature of the game?