I think you should wait more than a week. I think patience is a key skill in locksmithing, (especially at the beginning for example at repining locks).
And don't worry to much if you made a bit of an ass of yourself. Everyone does that now and then, and everyone knows that everyone does that .
Just go in sometimes and ask a few questions. Most locksmiths (at least the ones which will be presumably the best teachers) won't resist to have a nice chat about locks and maybe even teach you a few things about specific locks. Maybe buy something small now and then and use that occasion as a conversation starter.
A good intelligent talk always leaves a good impression.
If you do that once every 2 weeks or so he might offer you a job himself in a few months. I think of it like that: in the worst case I had a nice chat with someone who knows a lot more about locks than I do. Just don't bother when he is busy, simply ask him whether he has the time to chat around. My experience is that the pleasant ones which I would like to work with can usually spare a few minutes pretty much any time.
I did just that and I got offered a job a few times even though I wasn't looking for one. Although eventually one made an offer I couldn't refuse <insert Godfather theme song here>.
And as others said: be nice, polite and respectful. Show that you want to work and that you are motivated. I think I got the job because the owner saw the potential in me: that I know the locks a little bit and that I have enthusiasm and diligence.(At least I hope so...
To be honest I've never dared to ask why he wanted me to work there so much, I'm just happy that he did.)