McClain was awarded to Buffalo on Monday, two days after being waived by Oakland. Listed at 6-foot-5 and 336 pounds, McClain was inactive for the first four games this season.
He was an undrafted free agent out of Clemson, who spent last season on the Baltimore Ravens practice squad.
Young spent most of his three seasons in Buffalo as a backup and filling special teams roles.
The moves were made after coach Doug Marrone announced he intends to have backup Doug Legursky compete with Colin Brown for the starting job at left guard.
The Bills (2-3) host Cincinnati (3-2) on Sunday.
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