The softwarization of communication networks is fostering a complete re-design of network operations. While on the one hand this brings many advantages (like flexibility, improved resource efficiency or commoditization), it also incurs in increased management overhead. The same problem has been already tackled by cloud computing through the definition of serverless architectures (also known as Function as a Service - FaaS), which decompose software into minimal building blocks (functions) to maximize scalability, resource efficiency and flexibility. In this paper we analyze the potential of such paradigm in the mobile networking ecosystem, discussing the advantages of adapting it (e.g., scale to zero or liquid software), the challenges involved (e.g., state management or strict delay requirements), and potential solutions to remove such blockers.