He wants her to be able to take care of herself just like she does. Her powers had been enough, so much so that she only needed to practice keeping watch over her shoulder for unexpected attacks, but with them gone... well, she needs something else. At least he can provide that, along with other people she knows. She might hate that she asked him, but he won't start her on the really awful stuff. Yet.

"Sure we can. But I can show you something right now, if you want." Not a fighting move, and he doesn't shift in any way that indicates that he's talking about one. No, Clint means something very different with that statement, and if she takes him up on it, he'll be glad - but if she doesn't, he won't push her.