After five years at Ayresome Park and a brief spell playing in Hong Kong with Eastern AA, Cochrane moved to Gillingham in October 1983. He was named as the Kent side's Player of the Season for 1984–85.
Cochrane's tenure at Ayresome Park lasted five years before he took a brief leave to play in Hong Kong with Eastern AA. In October 1983, he moved to Gillingham. He was honored as the top player for the Kent side during the 1984–85 season.