Manchester born centre or wing half, or inside/centre forward Ike Evenson began his football career with local club Tonge and made his Football League debut as a triallist with Second Division club Glossop North End in October 1898, playing at centre half, first in a win at Gainsborough Trinity and a week later in a home defeat to Manchester City. He then joined Lancashire League club Wigan County in 1899 before signing for Second Division club Stockport County in April 1901. Initially a fringe player at Edgeley Park, playing across the half back line, his knack of scoring goals saw him promoted to the inside and centre forward positions where he scored half a dozen goals in a dozen matches in the second half of the 1902-03 season.
A move to Leicester Fosse in July 1903 after 9 goals in 35 appearances for The Hatters saw him score an FA Cup hat-trick in a 10-0 thrashing of Market Harborough Town in October 1903 and all three goals in a win at Burton United in January 1905, and two seasons with The Fossils produced 20 goals in 52 appearances. In 1905, after a brief spell with Southern League club Luton Town, Evenson signed for newly elected Second Division club Clapton Orient, where in an eventful first season he scored a hat-trick in his fourth match for The O’s in a 3-3 draw with Chesterfield Town, and he took over from Sam Ormerod as caretaker manager for a 9 match spell between January and March 1906. He then reverted to the half back line from March, playing the remainder of the season at left half and the whole of 1906-07 at centre half, missing just 5 matches during their campaign.
After two seasons at Millfields Road, having scored 10 goals in 67 appearances for Orient, he signed for West Bromwich Albion in April 1907, scoring once, in a 2-2 draw at former club Clapton Orient, in 8 appearances, moving on to Southern League club Plymouth Argyle a year later. Evenson was virtually ever present at centre half during his first season with the club, and was appointed captain at the start of the 1909-10 campaign. However, he could not hold down a regular place in the side and was released at the end of the season having scored 5 goals in 33 appearances, joining Central League club Stalybridge Celtic, his final recorded club before his eventual retirement.