[3] He was to make just one more appearance for Everton, in a 3–0 defeat at Wolverhampton Wanderers on 27 December 1983 but with his first team chances not increasing he asked for his name to be circulated to other clubs.
[4] The following season began in explosive fashion, with Rimmer scoring 21 times in the first 23 league and cup games as Chester shot to the top of Division Four.
Rimmer's final goals for Chester had come in a dramatic 3–1 win over Gillingham on 2 March 1988, when he scored three times in the last 10 minutes to turn the match on its head.
This season saw him break the Chester City Football League goalscoring record previously held by Gary Talbot, with his 84th such strike coming in a 2–1 home defeat to Mansfield Town.
[10] The 1993–94 season ended in promotion for Chester as runners–up in Division Three but produced a mere eight goals for Rimmer as he played second fiddle to loan man Graham Lancashire in the closing stages of the campaign.
[5] The following season was even worse, as Chester were again relegated and Rimmer struggled to command a regular place under Mike Pejic and spent time on loan with Rochdale and Preston.
[17] He has received a warm welcome on his occasional returns to the club to watch a game and when he was involved in the re–naming ceremony for the Harry McNally Terrace in tribute to his former manager.