Identity-based encryption with equality test (IBEET) is a special form of searchable encryption that has broad applications in cloud computing. It enables users to perform equality tests on encrypted data without decryption, thereby achieving secure data search while ensuring data privacy and confidentiality. However, in the context of mobile cloud computing, the susceptibility of mobile devices to loss significantly increases the risk of private key exposure. Existing IBEET schemes struggle to address this issue effectively, limiting their practical applicability. Moreover, with the rapid advancement of quantum computing, the security of traditional cryptographic hardness assumptions faces potential threats. To address these challenges and enhance system efficiency, we proposes the first lattice-based revocable IBEET (RIBEET) scheme, which supports user key revocation. We prove that our scheme satisfies adaptive CCA security under the assumption of DLWE hard problem. Additionally, performance evaluations comparing our scheme with existing ones demonstrate that our scheme offers significant efficiency advantages. Furthermore, we apply the proposed scheme to mobile health services, showcasing its practicality and reliability in mobile cloud computing environments.