Well, we were just dealing with this! My twins are 2 yrs & 3 mos. They have only used them in their cribs for naps & at night for quite a while now. They have been the most wonderful nappers & sleepers in the whole world. (12 hrs at night & avg 2 hr naps w/o any arguing every day.)
So pediatrician & some others said it was time to get rid of them. I'd heard/read/asked for advice & know all the "tricks" that you'll hear from others here. Everyone said it'd be 2-3 days & they'd be over it. Well...
I decided to use the "they're broken" trick. On Fri 1/9 in the morning after they woke up I cut off the ends when they weren't looking & showed them to them. They agreed they were broken & needed to go in the garbage.
Naps didn't happen at all that first day, which I expected. Nearly every other day after that, naps were torturous whole afternoon ordeals that left me exhausted, and left them with maybe only 1 hr of sleep each, and many times not at the same time. I could go into details, but I won't. (Mostly, nighttime was okay, just took them 15-30 minutes to calm down & go to sleep.) Long story short, none of us are ready for their afternoon naps to be gone yet, and they just couldn't seem to nap without them. Again, I tried all the "tricks" and advice to have them calm down or soothe with something else, but nothing worked. I even checked out the Healthy Sleep Habits, Happy Child book from the library, but actually couldn't find anything related to giving up the binkies!
So the evening of the 12th day into this (1/20) I bought new ones. The afternoon of the 13th day I gave in after 1 hour of the usual torture & gave them back. They slept for 2 hr naps that day & now the two afternoons since then.
Bottom line: Try it and see, but don't force it if she's not ready. I hear that quite a few kids stop napping around age 3 anyway, so I figure that's when the binkies will have to go away. Right now, we all need the afternoon peace & quiet!
Good luck to you!!!