Hi JoAnne, welcome to DTA. I'm behind, playing catch-up. Welcome also to the world of clicking. It is a clumsy place at first - but once you 'get it', it's a wonderful wonderful place, indeed. May I recommend yet one more book to you, that may really help explain things to you?
The Thinking Dog, Crossover to Clicker Training - by Gail Fisher. Gail is a 'crossover trainer', as you are - and wrote this book (it's available on dogwise, or amazon). It's excellent!!! Gail has quite the credentials, she has a huge training facility in the east, she's been a trainer for 30+ years, she's on the board of the APDT, she's spoken at the Clicker Expo, etc. I'm on the forum on Dogwise, also, and she was a guest author a year or two ago - she led a terrific discussion about her book, training, crossover training, thinking dogs, how to train "crossover dogs" (and people), etc. You may get all your questions answered in the book, she does a really great job of explaining things so you can understand them, plus she gives lots of examples (so things are really clear). She goes thru lessons so you can learn the clicker, etc. I just can't say enough about the book - I've recommended it to several people, who've all loved it.
As for training other animals, I know the trainers at our facility have gone to "chicken camp" and spent time working with chickens and clickers - it's made them better dog trainers, plus they said they had a great time!
I think a lot of us are crossover trainers - I certainly am. Clicker training wasn't around when I had my first dogs a zillion years ago. I was never one to use really harsh methods, I could never hit a dog, can't stand e-collars, the list goes on and on. But I was only introduced to clicker training about 4 years ago with my fear-aggressive rescue (my female GSD) when an old-school trainer insisted I use a prong collar on her and correct her bad behavior out of her. I refused to do so, left right then and there, and had to search for something better -- that's when I found our facility we've been attending ever since. Clicker training changed our lives for the better. One little clicker + a whole lot of chicken (and loads and loads of patience and time), and we can now take relaxed walks around our neighborhood. The power in that little clicker is amazing - and it's what gets your dog to thinking.
Just one more comment on the triple-clicking - no, don't do it. One click only. Click/treat. If you click accidently, then treat. Click will always mean treat, even if you screw up and do it carelessly, by accident, when you shouldn't, at the wrong time, for the wrong thing, or even for the wrong dog.
But only click once. They won't interpret a bunch of clicks (click click click) like we interpret "oh goodie goodie goodie". They don't need a conversation, only a click. They really don't need any conversation at all, no atta boy's, good girls, nothing - just "click/treat" - and they get the message loud and clear. The "click" marks the exact behavior you wanted, faster than you could possibly say "good boy/girl". That click is providing information to your dog (I asked you to do something, you did it, and now this behavior is over) - and 3 clicks, well, not sure what that is saying. It's noise, and as Tx said, it will dilute the meaning of the click - clearly not something you want to happen. Keep it simple - ask your dog for something, he/she does it, then click/treat.
No judgments here, I think we all love when people crossover to clicker training/positive reinforcement. Ask questions, loads of great people here on DTA to help. Again, welcome - and happy clicking!!