Chase went straight up the other end and Kieran Brown headed over the crossbar.
Mike O’Reilly saw a free kick well saved by Lewis Gwilliams just after the half hour. Then Chasetown deservedly took the lead when a Kieran Brown header struck the underside of the crossbar and down over the line.
The visitor were a whisker away from doubling their lead. George Cater's corner was headed goalwards by substitute Liam Kirton but Ryan Moore cleared off the line.
Sutton had a spell of sustained pressure which resulted in the hosts being awarded a penalty kick which Reece Leek converted straight down the middle of the goal.
The Royals turned the game right around and a corner to the far post was headed home by James Beresford.
Chasetown almost levelled immediately. Levi Reid drove low along the ground but Gwilliams managed to cling on.