Cally, Missy E did the on-off, swap sides, muck around thing for a few weeks before I stopped offering. I started getting a warm milk in a sippy cup ready before I sat down with her. When the on-off started, I'd pop my boob away and offer the sippy cup. She was cranky the first couple of times until she realised that the cup was by far the more reliable drink source (my supply was getting pretty patchy by this stage). Since then she pats me every so often but is happy to have the milk drink and a cuddle at the same time. I was feeling ready to wean altogether so it did take some assertive action by myself. I have no doubt we would still be having on-off mucking around (and no solid feeding) still if I'd let her keep going. HTH