How do you know it was a mouse slip and not just a bad move? I'd have continued regardless!
How to respond in a mouse slip?

if you dont like mouse slips dont play online
We all have done them its just part of playing here like disconnecting

If you play live on ipad there is a "submit" button. So the move does not register and can be taken back until you touch the button to submit the move.
Seems a bit unfair because there is not a submit button if you just play on a computer.

I had a huge blunder due to a mouse slip, like queen for a pawn. Since they lost a piece, there was nothing to be done.
If you seriously think they slipped and can move something like a rook 1 square, they move the piece back, and then you move the rook back without problem, then that'd be good. Problem is that they could just claim it is and then take advantage of this. I speak from experience on this, and have never offered a take back since.

I would follow the same philosophy as AcivilizedGentleman if I played much live. It seems the fairest approach. I would not ask for a draw due to my own error/computer problems, and I would not expect an opponent to give me one. And cursing at someone for failing to give a draw in such a situation is uncalled for.
If you think very long about ratings, and especially if you actually do the math associated with the ratings, the single game loss or draw due to some unexpected occurrence, such as a mouse slip, will have absolutely zero long term effect on your or his rating. It shouldn't even influence your decision.
That said, I don't think there is any obligation to accept a draw, but then again, I would never "beg" for one either. I know that the rating effect will be temporary and of no consequence, so I wouldn't put my opponent in the awkward position of accepting or rejecting the offer. That being said, if he were winning the game and a mouse slip put him in a losing position, or if the game were very tight and the mouse slip threw it away,I would probably take the draw. I don't think there's any obligation, but I think I would take it. If I thought I was going to win the game, no way would I take it.

you may ask for a draw and plead your case. the other party has no obligation to accept your excuse or even read your chat. thats my $.02. so if you accepted his pleas don't feel bad you just did what you felt was right at the time don't second guess it now. just store the knowledge for future use.

I wouldn't accept a draw, either. If someone moves their piece to the wrong square in an OTB game, you probably wouldn't accept a draw or allow them to retake the move. If they wrote the move first, maybe, but if they moved to the wrong square, how would you know whether or not they moved to the wrong square or wrote the move wrong?
I wouldn't take a draw if they ask after you already moved. I wonder how many "mouse slips" are really "Crap, I just realized I missed a much better move!"

Life's tough all over these days - do you ask for draws if your mouse allegedly "slips?"
Here's an interesting experiment: make some intentionally bad moves in blitz games and tell your opponent your mouse slipped and could you have a draw? i suspect the results will range from hilarious to scatalogical, but the vast majority will have one thing in common: NO!!
On mouse slips I mention it immediately but never ask for draws. Nobody has ever offered me one, nor do I expect them to.
That said, if I were offered a draw (and I, rightly and justifiably, haven't been yet) I'd take it. Just like people who make mouse slips need to accept the consequences, people who make rash decisions by offering draws need to accept the consequences.
Of course, I'd thank them profusely and challenge to a rematch if possible, and I'd friend request them and probably send a good sportsmanship trophy, but a draw offer is a draw offer whether you think the opponent should have offered or not.
(Once somebody was nice enough to accept a draw (I don't remember if I offered it or he did) when I clearly had the far better position min the endgame but some really obvious, ridiculously bad blunders. I was very thankful, and it was no fault of my own that I was in that position, but I accepted the draw!)
Confession: When losing badly in the endgame I will sometimes ask for draws just to see if my opponent is paying attention and cross my fingers that they'll accept.
Also, sometimes it appears that I'm repeatedly offering draws when losing when in reality I see that a position has been repeated a couple of times but I can't remember if it was three times or not, so I check. I annoyed somebody doing that recently, but she laughed when I explained what I was doing. So perhaps other people do that too, I'm not sure.

I have played this line 3 times as Black: 1. e4 d5 2. exd5 Qxd5 3. Nc3 Qb5
4. Nxb5 resigns.Of course, a mouse slip OR maybe I was tired OR whatever excuse I want to make up. And I resign--I do not ask for a 'takeback' and do not plead--just take the loss--one way to lose is as good as another.
When my opponent wants a 'take back' I just say, "Sorry but I neither give or accept takebacks" If my opponent says "please" I say "sorry". If he says I just want to increase my rating--I tell him he is an idiot and ought to grow up.
two or three times my opponents noticed my "slip" and offered to let me take my move back--even though I did not ask. I tell them very politely-thank you for your good consideration but I neither ask for or give or accept 'takebacks'

Confession: When losing badly in the endgame I will sometimes ask for draws just to see if my opponent is paying attention and cross my fingers that they'll accept.
That's a bit annoying. I had someone offer me 10+ draw offers, without moving, after I promoted a pawn to a queen in the endgame, and a queen will eat a bishop and a few pawns. They insisted that it was a draw. If I remember correctly, and I probably don't, I think I promoted with check, skewering their bishop. I eventually said "Either move, resign, or let the clock run out while you offer draws. If you think it's a draw, then prove it." They resigned.
As for ponz111, I'm writing this up because I'm not seeing it without the board:
That is crazy. I guess it is madwoman chess, after all.

it used to happen to me ?? a mouse slip but i got my mouse in good shape...i have found that playing one min games ( over 2,000 ) it has got me to control my mouse like ....learning the guitar at first , lots of mistakes and slips but a little practice ...not so bad any more ,one min games mouse slips diminish

Estrogen ...you are hard and merciless
And so is serious chess.
Mouse slips (which are most of the time very spottable because it is highly unlikely that at the 1500+ level a player leaves his queen en prise by a pawn) are often unrepairable, but they should remain rare enough not to influate a lot. That's different for the ones who play bullet, but I can't feel any sympathy for them...
If the game was roughly equal and my opponent asks (politely) for a draw I give it (except if I know the guy disconnects when losing or other forms of bad sportsmanship). If he was winning, I ask him how he would have played to see if he saw it too, and I usually resign (sometimes I 'only' offer the draw, depending on how well I feel the game was played). But I don't expect anyone else to do so : I always give notice of my mouse slips ('hey, I'm not that bad !'), but never ask for the draw.
my opponent had slipped twice in the game, none of which cost the game extremely badly, but begged in the chat for a draw anyways. i was confused so i accepted it, and lost 1 point out of it. what was the correct decision?