When I use the 18.104.22.168 version on Xcode 7.0.3, I get the following error when building:
ld: './libchilkatIos.a(CkoBz2.o)' does not contain bitcode. You must rebuild it with bitcode enabled (Xcode setting ENABLE_BITCODE), obtain an updated library from the vendor, or disable bitcode for this target. for architecture arm64
The release notes for this build say that bitcode is enabled. For now I've turned off bitcode (it's broken anyway, according to Apple) but you might want to look at the libraries again and recompile them, just to make sure bitcode is on.
Check to make sure you downloaded the very 1st download listed on this web page: http://www.chilkatsoft.com/downloads_ios.asp
The direct download link is http://www.chilkatsoft.com/download/22.214.171.124/chilkat-9.5.0-ios9.zip
I tested with Xcode 7.0, and did not encounter the problem... The Chilkat sources are definitely compiled with -fembed-bitcode