hey, thanks for the interest!
The startup time on an iphone 4s to load clojure.core is between 1,5 and 2 seconds. I haven't had a chance to test on iphone 5/5s, would love to see those numbers.
clojure.core is huge, everything else should only take milliseconds.
The good news is that it can be improved. The first time I ran the compiled code took 12s to load clojure.core, and with a few specific tweaks it got down to 2s. This also relies on j2objc, so we may also get performance improvements from them.
I don't have any numbers on performance yet.