Not with any of my current dogs, no. I am too closely bonded to them, so the only time I would consider giving them up was if I couldn't care for them properly. The boys especially...Hector and Bandit were both supposed to be my ex's dogs, and they're the two who are completely bonded to me. Bandit just doesn't like anyone else very much, period. Early on I tried to rehome Hector and his first day there he escaped the new house and made his way back to my home 8 miles away--and I didn't even like him at that point (found stray, just so no one attacks me for taking on a dog I didn't like
). His bond with me is even a running joke on my SAR team because of how focused on me he is. And I've had Scooter since he was a pup and he's indispensable to me, so even though he's a bit more social than the others, I couldn't give him up. Wooby is older and newer (I've only had her 3 years; she moved in from my next-door neighbors' house), and because of a lot of factors, we're strongly bonded but not as closely as with the boys. I'd be more likely to give her to someone who she loved and who would really pamper her and love on her, but it's still a long shot. About the only possibility is if I were to break up with my boyfriend (not likely, we're planning marriage and all that)...I'd probably leave her with him, because he loves her like a child.
With the amount of time I spend working with my dogs and the way we live, I can't imagine someone could show up and be more bonded to them than I am. And they have people besides me they love--they adore our pet sitter, who's been looking after them regularly for years; they love our vet; they are totally in love with my boyfriend who is wonderful with them and adores them in return...but when push comes to shove, there's no question they're my dogs. If they suddenly developed that bond with someone else, I might have to consider it just because!
That said, in my life I've found multiple strays that I liked and considered keeping (living in a rural area will do that for you), but did give away to people who just seemed to fit with the dog perfectly, so I'm not totally opposed to it. It really just depends on the situation and the dog--if I wasn't clicking with a dog as I would like or didn't have enough time for it and met someone who did, I'd go for it, but with a dog I'm really bonded with, I don't think it would even come up.