[4] Tway qualified for the 2008 U.S. Open at Torrey Pines but he failed to make the cut by four strokes after posting rounds of 75 and 78.

[5] He played on the Web.com Tour in 2013 and picked up his first win in July at the Albertsons Boise Open, defeating Spencer Levin on the first playoff hole with a birdie.

He scored four top-10s in 20 starts, including a solo third at the Price Cutter Charity Championship, but he still finished the regular season money list a few spots shy of automatically earning his card in 27th.

In 2017, Tway's season began with a slow start without having a top-30 finish in his first eleven starts, but in April, Tway knocked off three consecutive top-5s, finishing T3 at the Valero Texas Open, solo 3rd at the Zurich Classic of New Orleans (partnering with Kelly Kraft), and T5 at the Wells Fargo Championship.

Tway also moved from 175th in the FedEx Cup to 55th in those events, virtually locking up his Tour card for the next season.

He made the playoffs for a second consecutive year and finished 87th in points, again easily retaining his PGA Tour card for the next season.

[13] On October 7, 2018 (beginning of 2019 season), Tway won the Safeway Open, for his first career PGA Tour victory, in a playoff over Brandt Snedeker and Ryan Moore.