Maybe he just keeps hanging on to compile as many of these as possible. Art Martone points out on the ProJo Sox Blog:
Mike Timlin made his 25th League Championship Series appearance Tuesday night, tying Mariano Rivera’s all-time record.
Earlier this year he broke the record for all-time relief appearances for a right-handed pitcher. If he decides to come back next year somewhere and pitches in 13 more games, he’ll tie Dennis Eckersley for all-time appearances (of any kind) for a RHP.