How eukaryotic RNA polymerases switch from elongation to termination is unknown. Pol III subunits Rpc53 and Rpc37 (C53/37) form a heterodimer homologous to TFIIFβ/α. C53/37 promotes efficient termination and together with C11 also mediates pol III recycling in vitro. We previously developed Schizosaccharomyces pombe strains that report on two pol III termination activities: RNA oligo(U) 3'-end cleavage, and terminator readthrough. We randomly mutagenized C53 and C37 and isolated many C37 mutants with terminator readthrough but no comparable C53 mutants. The majority of C37 mutants have strong phenotypes with up to 40% readthrough and map to a C-terminal tract previously localized near Rpc2p in the pol III active center while a minority represent a distinct class with weaker phenotype, less readthrough and 3'-oligo(U) lengthening. Nascent pre-tRNAs released from a terminator by C37 mutants have shorter 3'-oligo(U) tracts than in cleavage-deficient C11 double mutants indicating RNA 3'-end cleavage during termination. We asked whether termination deficiency affects transcription output in the mutants in vivo both by monitoring intron-containing nascent transcript levels and (14)C-uridine incorporation. Surprisingly, multiple termination mutants have no decrease in transcript output relative to controls. These data are discussed in context of current models of pol III transcription.