Cloutier attended Gardiner High School in Maine, where he practiced football, basketball and track.
Cloutier was selected by the Dallas Cowboys in the eighteenth round (242nd overall) of the 1962 NFL draft, but after failing to come to terms with the Cowboys, he chose to sign as an undrafted free agent with the Buffalo Bills of the American Football League on January 4, 1962.
In 1962, after being released from the Buffalo Bills, Cloutier signed with the Portland Sea Hawks of the Atlantic Coast Football League (ACFL).
On March 3, 1964, Cloutier signed with the Boston Patriots of the American Football League (AFL).
He started in the American Football Conference Championship game against the Buffalo Bills.
[8] In 1962, while Cloutier was playing for the Portland Sea Hawks, he was the head football coach for Kennebunk High School.
After football, Cloutier returned to Maine to work in real estate, which he continued after he moved to Florida.