Yes, I take my Lab out with me. I've got an dog walking attachment thingy with a coil springy suspension thing that absorbs any unhelpful jerks or squirrel-chasing tugs from her (tried and tested). She runs either by my back wheel or slightly behind and is yet to show any inclination to help me on the hills, though she does sometimes pick up her pace if I'm lagging on a climb, just to be smug.
Once she got over the shock of me being faster than her for the first time since she was a pup, she fell in love with the idea of the bike and gets ridiculously excited when she sees me getting my bike gear together.
I get loads of funny looks as well, but they're getting used to us in the village now