Clifford was selected in the fifth round of the 2023 NFL Draft on Saturday.
Nine Penn State football players were drafted, while five more entered the league as undrafted free agents.
Mustipher racked up 144 tackles during his five seasons at Penn State.
Stoll was crowned the Mannelly Award winner during his sixth season.
Tinsley will join fellow Nittany Lion Jahan Dotson, who was drafted in the first round last year.
Hippenhammer appeared in 20 games with the Nittany Lions before transferring to Miami (Ohio).