Instruction Set Extensions (ISEs) supplement a host processor with special-purpose, typically fixed-function hardware components and instructions to utilise them. For cryptographic use-cases, this can be very effective due to the demand for non-standard or niche operations that are not supported by general-purpose architectures. However, one disadvantage of fixed-function ISEs is inflexibility, contradicting a need for "algorithm agility". This paper explores a new approach, namely the provision of reconfigurable mechanisms to support dynamic (run-time changeable) ISEs. Our results, obtained using an FPGA-based LEON3 prototype, show that this approach provides a flexible general-purpose platform for cryptographic ISEs with all known advantages of previous work, but relies on careful analysis of the associated security issues.