An episode with Jerry Lewis on the panel featured a guest who was...a bit rotund. Lewis jokingly suggested that the lady made diet pills — which turned out to be her occupation.
Jerry Lewis: But doesn't she take them at any time?
Groucho Marx, who for most of Line's run was hosting You Bet Your Life.
During one Mystery Guest segment:
Groucho (wearing his glasses over his blindfold): Are you an old Buick?
He also appeared at least twice as a Mystery Guest (October 13, 1963 and April 23, 1967), signing in as "Mr. + Mrs. John Smith" (1963) and "Take The Lead Out" (1967).