This note in the documentation for that egg looks worrisome [1]: "IMPORTANT: This only works when the code will be run on exactly the same platform as the Scheme compiler ran on. Cross-compilation and compiling to C and compiling that on the target platform is not supported. (You will get an error message when you try to do it anyway)"
Does this mean that cross-compiling for iOS would preclude using this bignum egg ?
I have no experience with it personally, so that might indeed be the case. If anyone mentions otherwise on IRC (#chicken on freenode) I will update this accordingly.