Model for noncanonical termination of RNAPIII. Nab2 accompanies RNAPIII on tDNA chromatin. When canonical termination occurs, the transcript is released and RNAPIII initiates another transcription cycle. When terminator read-through occurs, Nab2 targets the 3′ extended pre-tRNAs for degradation. Pre-tRNAs can be endonucleolytically cleaved by RNase Z (Trz1). Released tRNA extensions may be degraded by Rat1 and/or Mtr4 acting with the exosome or may be potentially processed to functional ncRNAs.