I highly doubt Mimikyu will start listening to her. It has listened to her before in small doses but fully listen? It never wanted to be with them in the first place. I kind of don't want Bewear to caught to be honest. ^^; Yes Jessie gave it a present but it was for it being so accommodating and friendly to them when they didn't have any food, place, nor protection when they came there.
Problem is this is Jessie where talking about here, and it's extremely unusual for her to give someone or a pokemon gift especially a pokemon that she doesn't own, so her giving Bewear a present is something worth noting, also it's probably more likely that it's setting up for a capture as if you go back to the Mareanie episode not only did Team Rocket tell Giovani that Bewear was their pokemon, they also later in the same episode talk about capturing Bewear, and what do you know 2 episodes later Jessie give Bewear a present which is highly unusual for her.