Are you moving to the same OS or a higher version?
If yes then you can simply use the standard cloning procedures.
If you are moving your existing e-business suite to another server with different Hostname other than your existing hostname then standard cloning should work without any issue.
If you are changing hostname/port for the new servers then you might take a look at this doc ID.
How to change hostname for E-Business Suite Release 12 on single node (Doc ID 1277556.1)
In addition to what is mentioned , If you are moving to same or different OS on new server , it is also recommended to ensure OS prerequisites are met as per the 12.1 release notes of that OS.
If you are moving from 64-bit to 64-bit,it is straight forward cloning except RPMs are needed in the new server.
- Oracle E-Business Suite Installation and Upgrade Notes Release 12 (12.1.1) for Linux x86-64 (Doc ID 761566.1)
If the bit version is defferent then follow the below doc for references.
- Migrating Oracle E-Business Suite R12 from Linux 32-bit to Linux 64-bit (Doc ID 471566.1)