He was in and out of both the Test and one-day teams in the 1990s and after 2000, his international career was over. As a batsman, he was a tailender, and a very pathetic one at that.
He made his Test debut against India in 1994. He dismissed Sachin Tendulkar seven times in his Test career.
Cuffy has the distinction of winning a man of the match award in a One Day International without scoring a run, taking a wicket or holding a catch. Playing against Zimbabwe at Harare in the opening fixture of a Coca-Cola Cup tournament on 23 June 2001 he won the match award for his analysis of 10–2–20–0. As the hosts managed only 239 for 9 in reply to 266 for 5 by West Indies, Cuffy's economy was crucial. No other Bowler in the match conceded fewer than 35 runs from his full 10-over entitlement.
