I'm sitting here wondering if it would make Lexi want to offer even more things, or if it'd calm her down.
I see it two ways. Because Lexi is already offering, you could easily be doing a sort of clicker training by saying "yes" or "good girl", but not realizing it. Because I clicker trained Koji (and not Miko), I catch myself doing it with my dogs and yes, even my nephews. It's just a habit for me to kinda "mark" the behaviors I want with something. So basically, you don't need to clicker train, because she gets it already and you're doing fine.
OR, she needs it because she's not getting the information from you that she wants, so she's just throwing her arsenal out there, even though you're not asking for anything.
My thoughts would be.....were you thinking of using the clicker training for anything specific? Or not?
Lastly, just another story. Koji is clicker trained, HOWEVER, I also use the clicker to mark things he does correctly, not necessarily shape behaviors. Lately, I've been using it for distance. When he gets out and away from me, I click (as he's going out and is committed - granted, I don't get the timing down correctly 100% need to work on that). He's not necessarily offering it to me, because I am giving him a command first. But I noticed that by marking it with a clicker, I'm able to "treat" him when I can't typically. So, I especially like it because I can mark behaviors from afar. And after reading the clicker books, I'm just impressed on how the clicking noise actually makes things stick more so, than words.
Just my two cents.