Cloud-assisted　Internet　of　Things　(IoT)　is　increasingly　prevalent　used　in　various　fields,　such　as　the　healthcare　system.　While　in　such　a　scenario,　sensitive　data　(e.g.,　personal　electronic　medical　records)　can　be　easily　revealed,　which　incurs　potential　security　challenges.　Thus,　Symmetric　Searchable　Encryption　(SSE)　has　been　extensively　studied　due　to　its　capability　of　supporting　efficient　search　on　encrypted　data.　However,　most　SSE　schemes　require　the　data　owner　to　share　the　complete　key　with　query　users　and　take　malicious　cloud　servers　out　of　consideration.　Seeking　to　address　these　limitations,　in　this　article　we　propose　a　Verifiable　Privacy-preserving　data　Search　scheme　with　Limited　key-disclosure　(VPSL)　for　cloud-assisted　Internet　of　Things.　VPSL　first　designs　a　trapdoor　generation　protocol　for　obtaining　a　trapdoor　with　disclosing　limited　key　information　and　without　revealing　plaintext　query　points　to　others.　Then,　VPSL　provides　an　efficient　result　verification　and　search　processing　by　employing　the　Merkle　hash　tree　structure　and　k-means　clustering　technique,　respectively.　VPSL　is　secure　against　the　level-2　attack.　Finally,　an　enhanced　VPSL　(called　VPSL+)　resisting　the　level-3　attack　is　constructed　by　introducing　the　random　splitting　technique.　Empirical　experiments　demonstrate　the　accuracy　and　efficiency　of　VPSL　or　VPSL+　using　real-world　datasets.