Progression isn't a linear thing - You aren't just going to endlessly develop your chess ability until you die. Asking at what numerical figure you should stop playing is an odd question. You started playing because you liked it right? Isn't that enough? If not, you started playing for the wrong reasons.
At what point should you quit chess?

If your only goal is to improve your rating (for what, bragging rights?) just quit now. Seriously, you’ll never reach even a master level and if you quit then, you’ll have just wasted years for nothing. Play for the love of the game or don’t play.

Never. You don't need to quit it. It's a GAME. You don't enjoy it this week? Don't play! Take a break. Next week, month or year you can play and study and enjoy the journey again. Don't make it a hassle or stress for yourself.
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So ideally, I'm looking for an answer along the lines of: "If you're still at 1200 after a year/lose to a player rated under 1000/get fools or scholar mated, or lose because of a particular tactic/ etc".
Something like that, NOT "when youy stop enjoying it and don't have time". That's not what I want, it doesn't answer my question.
Well he's gone now, but I was gonna say "when you no longer enjoy it", haha
I don't know, seems like that doesn't quite answer the question going by the prompt.

Well he's gone now, but I was gonna say "when you no longer enjoy it", haha
I don't know, seems like that doesn't quite answer the question going by the prompt.
Well, that's the criterion I use, so that's my answer, and I'm sticking to it! :-)

Well he's gone now, but I was gonna say "when you no longer enjoy it", haha
I don't know, seems like that doesn't quite answer the question going by the prompt.
You don't really have to create an account for each post. At least you haven't closed this one yet.

Everybody has had their say, but I want to be a bit more succinct - you should quit when you don't enjoy it.

So when I ask this question, I'm not looking for answers like "you should quit when you don't enjoy it". That doesn't answer my question. What I'm asking is when should quit chess because of a lack of skill, like being unable to reach a certain rating or having a bad win:loss ratio? Something along those lines, what would be a good indication that it's time for you to quit?
I had such a good giggle about this question, while studying chess, eating my breakfast. I giggled because I'm a newbie, whose confidence was shaken, and fragile ego defences destroyed yesterday. Every game I played, I lost, even one to someone who just joined yesterday, who I know for a fact hadn't played in years. While still licking my wounds after a hard day on the battlefield, I asked myself, "Will I ever get any better at this?" An answer came from the back file of my mind, "If I keep enjoying myself, does it matter?" While it might be a bit of a drag, to be constantly losing, and make one grow to dread the blows to the ego, while wondering when, if ever, improvements will happen, or the enjoyment of a victory well won, as long as it's so much fun, and learning is taking place, it's not the time to quit. When, if, you grow to hate it, entomology or some other ology, or just a good book in down time, might be a better expenditure of time and mental energy.

If your only goal is to improve your rating (for what, bragging rights?) just quit now. Seriously, you’ll never reach even a master level and if you quit then, you’ll have just wasted years for nothing. Play for the love of the game or don’t play.
I thought this was a wonderful answer, that might well have cut straight to the heart of the question asked. It can be very rough on the ol' ego, which has to be parked firmly in a chair waaay off at the back of the room, every time you play, so as not to be butting in, telling you there's no point in doing something you enjoy, because you might lose.
So when I ask this question, I'm not looking for answers like "you should quit when you don't enjoy it". That doesn't answer my question. What I'm asking is when should quit chess because of a lack of skill, like being unable to reach a certain rating or having a bad win:loss ratio? Something along those lines, what would be a good indication that it's time for you to quit?